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Finding the Fourth Proportional to 460.42, 686.58 and 456.32

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Solution

The fourth proportional to 460.42, 686.58 and 456.32 is: 680.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.42 : 686.58 = 456.32 : x
  2. Step 2: Convert to fraction form
    460.42/686.58 = 456.32/x
  3. Step 3: Cross multiply
    460.42x = 686.58 × 456.32
  4. Step 4: Simplify right side
    460.42x = 313,298.18
  5. Step 5: Solve for x
    x = 313,298.18/460.42
  6. Step 6: Final answer
    x = 680.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.