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Finding the Fourth Proportional to 763.08, 1,053.04 and 413.76

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Solution

The fourth proportional to 763.08, 1,053.04 and 413.76 is: 570.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.08 : 1,053.04 = 413.76 : x
  2. Step 2: Convert to fraction form
    763.08/1,053.04 = 413.76/x
  3. Step 3: Cross multiply
    763.08x = 1,053.04 × 413.76
  4. Step 4: Simplify right side
    763.08x = 435,705.83
  5. Step 5: Solve for x
    x = 435,705.83/763.08
  6. Step 6: Final answer
    x = 570.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.