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Finding the Fourth Proportional to 765.83, 1,056.92 and 486.04

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Solution

The fourth proportional to 765.83, 1,056.92 and 486.04 is: 670.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.83 : 1,056.92 = 486.04 : x
  2. Step 2: Convert to fraction form
    765.83/1,056.92 = 486.04/x
  3. Step 3: Cross multiply
    765.83x = 1,056.92 × 486.04
  4. Step 4: Simplify right side
    765.83x = 513,705.40
  5. Step 5: Solve for x
    x = 513,705.40/765.83
  6. Step 6: Final answer
    x = 670.78

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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.