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Finding the Fourth Proportional to 875.90, 1,312.79 and 413.14

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Solution

The fourth proportional to 875.90, 1,312.79 and 413.14 is: 619.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.90 : 1,312.79 = 413.14 : x
  2. Step 2: Convert to fraction form
    875.90/1,312.79 = 413.14/x
  3. Step 3: Cross multiply
    875.90x = 1,312.79 × 413.14
  4. Step 4: Simplify right side
    875.90x = 542,365.50
  5. Step 5: Solve for x
    x = 542,365.50/875.90
  6. Step 6: Final answer
    x = 619.21

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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.