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Finding the Fourth Proportional to 581.72, 801.59 and 540.71

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Solution

The fourth proportional to 581.72, 801.59 and 540.71 is: 745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.72 : 801.59 = 540.71 : x
  2. Step 2: Convert to fraction form
    581.72/801.59 = 540.71/x
  3. Step 3: Cross multiply
    581.72x = 801.59 × 540.71
  4. Step 4: Simplify right side
    581.72x = 433,421.02
  5. Step 5: Solve for x
    x = 433,421.02/581.72
  6. Step 6: Final answer
    x = 745.07

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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.