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Finding the Fourth Proportional to 790.93, 1,177.96 and 740.30

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Solution

The fourth proportional to 790.93, 1,177.96 and 740.30 is: 1,102.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.93 : 1,177.96 = 740.30 : x
  2. Step 2: Convert to fraction form
    790.93/1,177.96 = 740.30/x
  3. Step 3: Cross multiply
    790.93x = 1,177.96 × 740.30
  4. Step 4: Simplify right side
    790.93x = 872,043.79
  5. Step 5: Solve for x
    x = 872,043.79/790.93
  6. Step 6: Final answer
    x = 1,102.55

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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.