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Finding the Fourth Proportional to 924.15, 1,386.23 and 461.24

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Solution

The fourth proportional to 924.15, 1,386.23 and 461.24 is: 691.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.15 : 1,386.23 = 461.24 : x
  2. Step 2: Convert to fraction form
    924.15/1,386.23 = 461.24/x
  3. Step 3: Cross multiply
    924.15x = 1,386.23 × 461.24
  4. Step 4: Simplify right side
    924.15x = 639,375.49
  5. Step 5: Solve for x
    x = 639,375.49/924.15
  6. Step 6: Final answer
    x = 691.85

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.