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Finding the Fourth Proportional to 761.13, 1,139.40 and 566.98

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Solution

The fourth proportional to 761.13, 1,139.40 and 566.98 is: 848.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.13 : 1,139.40 = 566.98 : x
  2. Step 2: Convert to fraction form
    761.13/1,139.40 = 566.98/x
  3. Step 3: Cross multiply
    761.13x = 1,139.40 × 566.98
  4. Step 4: Simplify right side
    761.13x = 646,014.16
  5. Step 5: Solve for x
    x = 646,014.16/761.13
  6. Step 6: Final answer
    x = 848.76

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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.