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Finding the Fourth Proportional to 747.26, 1,030.58 and 561.20

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Solution

The fourth proportional to 747.26, 1,030.58 and 561.20 is: 773.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.26 : 1,030.58 = 561.20 : x
  2. Step 2: Convert to fraction form
    747.26/1,030.58 = 561.20/x
  3. Step 3: Cross multiply
    747.26x = 1,030.58 × 561.20
  4. Step 4: Simplify right side
    747.26x = 578,361.50
  5. Step 5: Solve for x
    x = 578,361.50/747.26
  6. Step 6: Final answer
    x = 773.98

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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.