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Finding the Fourth Proportional to 522.92, 724.93 and 495.18

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Solution

The fourth proportional to 522.92, 724.93 and 495.18 is: 686.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.92 : 724.93 = 495.18 : x
  2. Step 2: Convert to fraction form
    522.92/724.93 = 495.18/x
  3. Step 3: Cross multiply
    522.92x = 724.93 × 495.18
  4. Step 4: Simplify right side
    522.92x = 358,970.84
  5. Step 5: Solve for x
    x = 358,970.84/522.92
  6. Step 6: Final answer
    x = 686.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.