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Finding the Fourth Proportional to 497.74, 687.76 and 358.32

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Solution

The fourth proportional to 497.74, 687.76 and 358.32 is: 495.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.74 : 687.76 = 358.32 : x
  2. Step 2: Convert to fraction form
    497.74/687.76 = 358.32/x
  3. Step 3: Cross multiply
    497.74x = 687.76 × 358.32
  4. Step 4: Simplify right side
    497.74x = 246,438.16
  5. Step 5: Solve for x
    x = 246,438.16/497.74
  6. Step 6: Final answer
    x = 495.11

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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.