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Finding the Fourth Proportional to 760.66, 1,140.28 and 413.48

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Solution

The fourth proportional to 760.66, 1,140.28 and 413.48 is: 619.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.66 : 1,140.28 = 413.48 : x
  2. Step 2: Convert to fraction form
    760.66/1,140.28 = 413.48/x
  3. Step 3: Cross multiply
    760.66x = 1,140.28 × 413.48
  4. Step 4: Simplify right side
    760.66x = 471,482.97
  5. Step 5: Solve for x
    x = 471,482.97/760.66
  6. Step 6: Final answer
    x = 619.83

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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.