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Finding the Fourth Proportional to 779.73, 1,076.15 and 592.92

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Solution

The fourth proportional to 779.73, 1,076.15 and 592.92 is: 818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.73 : 1,076.15 = 592.92 : x
  2. Step 2: Convert to fraction form
    779.73/1,076.15 = 592.92/x
  3. Step 3: Cross multiply
    779.73x = 1,076.15 × 592.92
  4. Step 4: Simplify right side
    779.73x = 638,070.86
  5. Step 5: Solve for x
    x = 638,070.86/779.73
  6. Step 6: Final answer
    x = 818.32

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1.5x scale

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.