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Finding the Fourth Proportional to 760.52, 1,138.37 and 413.34

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Solution

The fourth proportional to 760.52, 1,138.37 and 413.34 is: 618.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.52 : 1,138.37 = 413.34 : x
  2. Step 2: Convert to fraction form
    760.52/1,138.37 = 413.34/x
  3. Step 3: Cross multiply
    760.52x = 1,138.37 × 413.34
  4. Step 4: Simplify right side
    760.52x = 470,531.79
  5. Step 5: Solve for x
    x = 470,531.79/760.52
  6. Step 6: Final answer
    x = 618.70

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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.