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Finding the Fourth Proportional to 652.22, 899.10 and 430.79

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Solution

The fourth proportional to 652.22, 899.10 and 430.79 is: 593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.22 : 899.10 = 430.79 : x
  2. Step 2: Convert to fraction form
    652.22/899.10 = 430.79/x
  3. Step 3: Cross multiply
    652.22x = 899.10 × 430.79
  4. Step 4: Simplify right side
    652.22x = 387,318.79
  5. Step 5: Solve for x
    x = 387,318.79/652.22
  6. Step 6: Final answer
    x = 593.85

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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.