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Finding the Fourth Proportional to 751.40, 1,035.28 and 561.55

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Solution

The fourth proportional to 751.40, 1,035.28 and 561.55 is: 773.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.40 : 1,035.28 = 561.55 : x
  2. Step 2: Convert to fraction form
    751.40/1,035.28 = 561.55/x
  3. Step 3: Cross multiply
    751.40x = 1,035.28 × 561.55
  4. Step 4: Simplify right side
    751.40x = 581,353.50
  5. Step 5: Solve for x
    x = 581,353.50/751.40
  6. Step 6: Final answer
    x = 773.70

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Why These Related Problems?

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