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Finding the Fourth Proportional to 708.42, 1,062.75 and 430.98

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Solution

The fourth proportional to 708.42, 1,062.75 and 430.98 is: 646.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.42 : 1,062.75 = 430.98 : x
  2. Step 2: Convert to fraction form
    708.42/1,062.75 = 430.98/x
  3. Step 3: Cross multiply
    708.42x = 1,062.75 × 430.98
  4. Step 4: Simplify right side
    708.42x = 458,025.46
  5. Step 5: Solve for x
    x = 458,025.46/708.42
  6. Step 6: Final answer
    x = 646.54

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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.