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Finding the Fourth Proportional to 583.97, 875.48 and 430.74

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Solution

The fourth proportional to 583.97, 875.48 and 430.74 is: 645.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.97 : 875.48 = 430.74 : x
  2. Step 2: Convert to fraction form
    583.97/875.48 = 430.74/x
  3. Step 3: Cross multiply
    583.97x = 875.48 × 430.74
  4. Step 4: Simplify right side
    583.97x = 377,102.10
  5. Step 5: Solve for x
    x = 377,102.10/583.97
  6. Step 6: Final answer
    x = 645.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.