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Finding the Fourth Proportional to 580.59, 801.72 and 424.11

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Solution

The fourth proportional to 580.59, 801.72 and 424.11 is: 585.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.59 : 801.72 = 424.11 : x
  2. Step 2: Convert to fraction form
    580.59/801.72 = 424.11/x
  3. Step 3: Cross multiply
    580.59x = 801.72 × 424.11
  4. Step 4: Simplify right side
    580.59x = 340,017.47
  5. Step 5: Solve for x
    x = 340,017.47/580.59
  6. Step 6: Final answer
    x = 585.64

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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.