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Finding the Fourth Proportional to 899.72, 1,349.58 and 412.52

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Solution

The fourth proportional to 899.72, 1,349.58 and 412.52 is: 618.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.72 : 1,349.58 = 412.52 : x
  2. Step 2: Convert to fraction form
    899.72/1,349.58 = 412.52/x
  3. Step 3: Cross multiply
    899.72x = 1,349.58 × 412.52
  4. Step 4: Simplify right side
    899.72x = 556,728.74
  5. Step 5: Solve for x
    x = 556,728.74/899.72
  6. Step 6: Final answer
    x = 618.78

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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.