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Finding the Fourth Proportional to 1,062.06, 1,465.03 and 747.78

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Solution

The fourth proportional to 1,062.06, 1,465.03 and 747.78 is: 1,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.06 : 1,465.03 = 747.78 : x
  2. Step 2: Convert to fraction form
    1,062.06/1,465.03 = 747.78/x
  3. Step 3: Cross multiply
    1,062.06x = 1,465.03 × 747.78
  4. Step 4: Simplify right side
    1,062.06x = 1,095,516.39
  5. Step 5: Solve for x
    x = 1,095,516.39/1,062.06
  6. Step 6: Final answer
    x = 1,031.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.