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Finding the Fourth Proportional to 642.47, 886.26 and 430.14

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Solution

The fourth proportional to 642.47, 886.26 and 430.14 is: 593.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.47 : 886.26 = 430.14 : x
  2. Step 2: Convert to fraction form
    642.47/886.26 = 430.14/x
  3. Step 3: Cross multiply
    642.47x = 886.26 × 430.14
  4. Step 4: Simplify right side
    642.47x = 381,215.88
  5. Step 5: Solve for x
    x = 381,215.88/642.47
  6. Step 6: Final answer
    x = 593.36

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1.5x scale

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.