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Finding the Fourth Proportional to 745.61, 1,118.48 and 565.25

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Solution

The fourth proportional to 745.61, 1,118.48 and 565.25 is: 847.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.61 : 1,118.48 = 565.25 : x
  2. Step 2: Convert to fraction form
    745.61/1,118.48 = 565.25/x
  3. Step 3: Cross multiply
    745.61x = 1,118.48 × 565.25
  4. Step 4: Simplify right side
    745.61x = 632,212.40
  5. Step 5: Solve for x
    x = 632,212.40/745.61
  6. Step 6: Final answer
    x = 847.92

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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.