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Finding the Fourth Proportional to 749.32, 1,117.01 and 708.28

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Solution

The fourth proportional to 749.32, 1,117.01 and 708.28 is: 1,055.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.32 : 1,117.01 = 708.28 : x
  2. Step 2: Convert to fraction form
    749.32/1,117.01 = 708.28/x
  3. Step 3: Cross multiply
    749.32x = 1,117.01 × 708.28
  4. Step 4: Simplify right side
    749.32x = 791,150.84
  5. Step 5: Solve for x
    x = 791,150.84/749.32
  6. Step 6: Final answer
    x = 1,055.83

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1.5x scale

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.