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Finding the Fourth Proportional to 750.34, 1,118.90 and 698.40

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Solution

The fourth proportional to 750.34, 1,118.90 and 698.40 is: 1,041.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.34 : 1,118.90 = 698.40 : x
  2. Step 2: Convert to fraction form
    750.34/1,118.90 = 698.40/x
  3. Step 3: Cross multiply
    750.34x = 1,118.90 × 698.40
  4. Step 4: Simplify right side
    750.34x = 781,439.76
  5. Step 5: Solve for x
    x = 781,439.76/750.34
  6. Step 6: Final answer
    x = 1,041.45

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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.