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Finding the Fourth Proportional to 581.13, 800.62 and 433.47

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Solution

The fourth proportional to 581.13, 800.62 and 433.47 is: 597.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.13 : 800.62 = 433.47 : x
  2. Step 2: Convert to fraction form
    581.13/800.62 = 433.47/x
  3. Step 3: Cross multiply
    581.13x = 800.62 × 433.47
  4. Step 4: Simplify right side
    581.13x = 347,044.75
  5. Step 5: Solve for x
    x = 347,044.75/581.13
  6. Step 6: Final answer
    x = 597.19

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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.