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Finding the Fourth Proportional to 737.71, 1,100.95 and 707.94

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Solution

The fourth proportional to 737.71, 1,100.95 and 707.94 is: 1,056.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.71 : 1,100.95 = 707.94 : x
  2. Step 2: Convert to fraction form
    737.71/1,100.95 = 707.94/x
  3. Step 3: Cross multiply
    737.71x = 1,100.95 × 707.94
  4. Step 4: Simplify right side
    737.71x = 779,406.54
  5. Step 5: Solve for x
    x = 779,406.54/737.71
  6. Step 6: Final answer
    x = 1,056.52

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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.