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Finding the Fourth Proportional to 1,061.55, 1,464.21 and 747.50

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Solution

The fourth proportional to 1,061.55, 1,464.21 and 747.50 is: 1,031.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.55 : 1,464.21 = 747.50 : x
  2. Step 2: Convert to fraction form
    1,061.55/1,464.21 = 747.50/x
  3. Step 3: Cross multiply
    1,061.55x = 1,464.21 × 747.50
  4. Step 4: Simplify right side
    1,061.55x = 1,094,489.65
  5. Step 5: Solve for x
    x = 1,094,489.65/1,061.55
  6. Step 6: Final answer
    x = 1,031.03

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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.