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Finding the Fourth Proportional to 585.76, 807.39 and 509.86

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Solution

The fourth proportional to 585.76, 807.39 and 509.86 is: 702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.76 : 807.39 = 509.86 : x
  2. Step 2: Convert to fraction form
    585.76/807.39 = 509.86/x
  3. Step 3: Cross multiply
    585.76x = 807.39 × 509.86
  4. Step 4: Simplify right side
    585.76x = 411,651.83
  5. Step 5: Solve for x
    x = 411,651.83/585.76
  6. Step 6: Final answer
    x = 702.77

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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.