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Finding the Fourth Proportional to 587.47, 809.77 and 430.11

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Solution

The fourth proportional to 587.47, 809.77 and 430.11 is: 592.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.47 : 809.77 = 430.11 : x
  2. Step 2: Convert to fraction form
    587.47/809.77 = 430.11/x
  3. Step 3: Cross multiply
    587.47x = 809.77 × 430.11
  4. Step 4: Simplify right side
    587.47x = 348,290.17
  5. Step 5: Solve for x
    x = 348,290.17/587.47
  6. Step 6: Final answer
    x = 592.86

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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.