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Finding the Fourth Proportional to 652.03, 899.69 and 430.86

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Solution

The fourth proportional to 652.03, 899.69 and 430.86 is: 594.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.03 : 899.69 = 430.86 : x
  2. Step 2: Convert to fraction form
    652.03/899.69 = 430.86/x
  3. Step 3: Cross multiply
    652.03x = 899.69 × 430.86
  4. Step 4: Simplify right side
    652.03x = 387,644.88
  5. Step 5: Solve for x
    x = 387,644.88/652.03
  6. Step 6: Final answer
    x = 594.52

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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.