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Finding the Fourth Proportional to 760.10, 1,139.63 and 413.14

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Solution

The fourth proportional to 760.10, 1,139.63 and 413.14 is: 619.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.10 : 1,139.63 = 413.14 : x
  2. Step 2: Convert to fraction form
    760.10/1,139.63 = 413.14/x
  3. Step 3: Cross multiply
    760.10x = 1,139.63 × 413.14
  4. Step 4: Simplify right side
    760.10x = 470,825.26
  5. Step 5: Solve for x
    x = 470,825.26/760.10
  6. Step 6: Final answer
    x = 619.43

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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.