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Finding the Fourth Proportional to 647.33, 974.50 and 592.79

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Solution

The fourth proportional to 647.33, 974.50 and 592.79 is: 892.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.33 : 974.50 = 592.79 : x
  2. Step 2: Convert to fraction form
    647.33/974.50 = 592.79/x
  3. Step 3: Cross multiply
    647.33x = 974.50 × 592.79
  4. Step 4: Simplify right side
    647.33x = 577,667.50
  5. Step 5: Solve for x
    x = 577,667.50/647.33
  6. Step 6: Final answer
    x = 892.39

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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.