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Finding the Fourth Proportional to 512.37, 702.14 and 463.16

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Solution

The fourth proportional to 512.37, 702.14 and 463.16 is: 634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.37 : 702.14 = 463.16 : x
  2. Step 2: Convert to fraction form
    512.37/702.14 = 463.16/x
  3. Step 3: Cross multiply
    512.37x = 702.14 × 463.16
  4. Step 4: Simplify right side
    512.37x = 325,203.16
  5. Step 5: Solve for x
    x = 325,203.16/512.37
  6. Step 6: Final answer
    x = 634.70

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.