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Finding the Fourth Proportional to 592.63, 816.80 and 509.41

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Solution

The fourth proportional to 592.63, 816.80 and 509.41 is: 702.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.63 : 816.80 = 509.41 : x
  2. Step 2: Convert to fraction form
    592.63/816.80 = 509.41/x
  3. Step 3: Cross multiply
    592.63x = 816.80 × 509.41
  4. Step 4: Simplify right side
    592.63x = 416,082.83
  5. Step 5: Solve for x
    x = 416,082.83/592.63
  6. Step 6: Final answer
    x = 702.09

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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.