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Finding the Fourth Proportional to 875.75, 1,313.20 and 413.14

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Solution

The fourth proportional to 875.75, 1,313.20 and 413.14 is: 619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.75 : 1,313.20 = 413.14 : x
  2. Step 2: Convert to fraction form
    875.75/1,313.20 = 413.14/x
  3. Step 3: Cross multiply
    875.75x = 1,313.20 × 413.14
  4. Step 4: Simplify right side
    875.75x = 542,535.45
  5. Step 5: Solve for x
    x = 542,535.45/875.75
  6. Step 6: Final answer
    x = 619.51

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1.5x scale

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.