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Finding the Fourth Proportional to 529.92, 790.77 and 488.79

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Solution

The fourth proportional to 529.92, 790.77 and 488.79 is: 729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.92 : 790.77 = 488.79 : x
  2. Step 2: Convert to fraction form
    529.92/790.77 = 488.79/x
  3. Step 3: Cross multiply
    529.92x = 790.77 × 488.79
  4. Step 4: Simplify right side
    529.92x = 386,520.47
  5. Step 5: Solve for x
    x = 386,520.47/529.92
  6. Step 6: Final answer
    x = 729.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.