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Finding the Fourth Proportional to 745.40, 1,116.36 and 653.13

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Solution

The fourth proportional to 745.40, 1,116.36 and 653.13 is: 978.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.40 : 1,116.36 = 653.13 : x
  2. Step 2: Convert to fraction form
    745.40/1,116.36 = 653.13/x
  3. Step 3: Cross multiply
    745.40x = 1,116.36 × 653.13
  4. Step 4: Simplify right side
    745.40x = 729,134.41
  5. Step 5: Solve for x
    x = 729,134.41/745.40
  6. Step 6: Final answer
    x = 978.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.