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Finding the Fourth Proportional to 522.57, 780.52 and 473.08

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Solution

The fourth proportional to 522.57, 780.52 and 473.08 is: 706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.57 : 780.52 = 473.08 : x
  2. Step 2: Convert to fraction form
    522.57/780.52 = 473.08/x
  3. Step 3: Cross multiply
    522.57x = 780.52 × 473.08
  4. Step 4: Simplify right side
    522.57x = 369,248.40
  5. Step 5: Solve for x
    x = 369,248.40/522.57
  6. Step 6: Final answer
    x = 706.60

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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.