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Finding the Fourth Proportional to 590, 815.76 and 524.24

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Solution

The fourth proportional to 590, 815.76 and 524.24 is: 724.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    590 : 815.76 = 524.24 : x
  2. Step 2: Convert to fraction form
    590/815.76 = 524.24/x
  3. Step 3: Cross multiply
    590x = 815.76 × 524.24
  4. Step 4: Simplify right side
    590x = 427,654.02
  5. Step 5: Solve for x
    x = 427,654.02/590
  6. Step 6: Final answer
    x = 724.84

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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.