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Finding the Fourth Proportional to 877.95, 1,315.98 and 415.35

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Solution

The fourth proportional to 877.95, 1,315.98 and 415.35 is: 622.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.95 : 1,315.98 = 415.35 : x
  2. Step 2: Convert to fraction form
    877.95/1,315.98 = 415.35/x
  3. Step 3: Cross multiply
    877.95x = 1,315.98 × 415.35
  4. Step 4: Simplify right side
    877.95x = 546,592.29
  5. Step 5: Solve for x
    x = 546,592.29/877.95
  6. Step 6: Final answer
    x = 622.58

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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.