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Finding the Fourth Proportional to 497.04, 686.28 and 460.18

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Solution

The fourth proportional to 497.04, 686.28 and 460.18 is: 635.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.04 : 686.28 = 460.18 : x
  2. Step 2: Convert to fraction form
    497.04/686.28 = 460.18/x
  3. Step 3: Cross multiply
    497.04x = 686.28 × 460.18
  4. Step 4: Simplify right side
    497.04x = 315,812.33
  5. Step 5: Solve for x
    x = 315,812.33/497.04
  6. Step 6: Final answer
    x = 635.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.