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Finding the Fourth Proportional to 461.34, 695.49 and 430.02

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Solution

The fourth proportional to 461.34, 695.49 and 430.02 is: 648.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.34 : 695.49 = 430.02 : x
  2. Step 2: Convert to fraction form
    461.34/695.49 = 430.02/x
  3. Step 3: Cross multiply
    461.34x = 695.49 × 430.02
  4. Step 4: Simplify right side
    461.34x = 299,074.61
  5. Step 5: Solve for x
    x = 299,074.61/461.34
  6. Step 6: Final answer
    x = 648.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.