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Finding the Fourth Proportional to 581.50, 801.99 and 424.69

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Solution

The fourth proportional to 581.50, 801.99 and 424.69 is: 585.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.50 : 801.99 = 424.69 : x
  2. Step 2: Convert to fraction form
    581.50/801.99 = 424.69/x
  3. Step 3: Cross multiply
    581.50x = 801.99 × 424.69
  4. Step 4: Simplify right side
    581.50x = 340,597.13
  5. Step 5: Solve for x
    x = 340,597.13/581.50
  6. Step 6: Final answer
    x = 585.72

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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.