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Finding the Fourth Proportional to 522.47, 722.36 and 499.52

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Solution

The fourth proportional to 522.47, 722.36 and 499.52 is: 690.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.47 : 722.36 = 499.52 : x
  2. Step 2: Convert to fraction form
    522.47/722.36 = 499.52/x
  3. Step 3: Cross multiply
    522.47x = 722.36 × 499.52
  4. Step 4: Simplify right side
    522.47x = 360,827.16
  5. Step 5: Solve for x
    x = 360,827.16/522.47
  6. Step 6: Final answer
    x = 690.62

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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.