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Finding the Fourth Proportional to 592.32, 815.92 and 509.68

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Solution

The fourth proportional to 592.32, 815.92 and 509.68 is: 702.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.32 : 815.92 = 509.68 : x
  2. Step 2: Convert to fraction form
    592.32/815.92 = 509.68/x
  3. Step 3: Cross multiply
    592.32x = 815.92 × 509.68
  4. Step 4: Simplify right side
    592.32x = 415,858.11
  5. Step 5: Solve for x
    x = 415,858.11/592.32
  6. Step 6: Final answer
    x = 702.08

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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.