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Finding the Fourth Proportional to 874.69, 1,312.57 and 464.14

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Solution

The fourth proportional to 874.69, 1,312.57 and 464.14 is: 696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.69 : 1,312.57 = 464.14 : x
  2. Step 2: Convert to fraction form
    874.69/1,312.57 = 464.14/x
  3. Step 3: Cross multiply
    874.69x = 1,312.57 × 464.14
  4. Step 4: Simplify right side
    874.69x = 609,216.24
  5. Step 5: Solve for x
    x = 609,216.24/874.69
  6. Step 6: Final answer
    x = 696.49

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.