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Finding the Fourth Proportional to 790.70, 1,091.95 and 542.63

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Solution

The fourth proportional to 790.70, 1,091.95 and 542.63 is: 749.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.70 : 1,091.95 = 542.63 : x
  2. Step 2: Convert to fraction form
    790.70/1,091.95 = 542.63/x
  3. Step 3: Cross multiply
    790.70x = 1,091.95 × 542.63
  4. Step 4: Simplify right side
    790.70x = 592,526.20
  5. Step 5: Solve for x
    x = 592,526.20/790.70
  6. Step 6: Final answer
    x = 749.37

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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.