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Finding the Fourth Proportional to 761.76, 1,139.04 and 555.84

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Solution

The fourth proportional to 761.76, 1,139.04 and 555.84 is: 831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.76 : 1,139.04 = 555.84 : x
  2. Step 2: Convert to fraction form
    761.76/1,139.04 = 555.84/x
  3. Step 3: Cross multiply
    761.76x = 1,139.04 × 555.84
  4. Step 4: Simplify right side
    761.76x = 633,123.99
  5. Step 5: Solve for x
    x = 633,123.99/761.76
  6. Step 6: Final answer
    x = 831.13

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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.