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Finding the Fourth Proportional to 761.54, 1,143.12 and 618.98

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Solution

The fourth proportional to 761.54, 1,143.12 and 618.98 is: 929.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.54 : 1,143.12 = 618.98 : x
  2. Step 2: Convert to fraction form
    761.54/1,143.12 = 618.98/x
  3. Step 3: Cross multiply
    761.54x = 1,143.12 × 618.98
  4. Step 4: Simplify right side
    761.54x = 707,568.42
  5. Step 5: Solve for x
    x = 707,568.42/761.54
  6. Step 6: Final answer
    x = 929.13

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