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Finding the Fourth Proportional to 591.72, 812.23 and 524.76

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Solution

The fourth proportional to 591.72, 812.23 and 524.76 is: 720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.72 : 812.23 = 524.76 : x
  2. Step 2: Convert to fraction form
    591.72/812.23 = 524.76/x
  3. Step 3: Cross multiply
    591.72x = 812.23 × 524.76
  4. Step 4: Simplify right side
    591.72x = 426,225.81
  5. Step 5: Solve for x
    x = 426,225.81/591.72
  6. Step 6: Final answer
    x = 720.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.