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Finding the Fourth Proportional to 708.93, 975.60 and 542.49

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Solution

The fourth proportional to 708.93, 975.60 and 542.49 is: 746.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.93 : 975.60 = 542.49 : x
  2. Step 2: Convert to fraction form
    708.93/975.60 = 542.49/x
  3. Step 3: Cross multiply
    708.93x = 975.60 × 542.49
  4. Step 4: Simplify right side
    708.93x = 529,253.24
  5. Step 5: Solve for x
    x = 529,253.24/708.93
  6. Step 6: Final answer
    x = 746.55

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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.