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Finding the Fourth Proportional to 777.60, 1,166.40 and 502.20

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Solution

The fourth proportional to 777.60, 1,166.40 and 502.20 is: 753.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.60 : 1,166.40 = 502.20 : x
  2. Step 2: Convert to fraction form
    777.60/1,166.40 = 502.20/x
  3. Step 3: Cross multiply
    777.60x = 1,166.40 × 502.20
  4. Step 4: Simplify right side
    777.60x = 585,766.08
  5. Step 5: Solve for x
    x = 585,766.08/777.60
  6. Step 6: Final answer
    x = 753.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.