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Finding the Fourth Proportional to 877.76, 1,317.04 and 390.95

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Solution

The fourth proportional to 877.76, 1,317.04 and 390.95 is: 586.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.76 : 1,317.04 = 390.95 : x
  2. Step 2: Convert to fraction form
    877.76/1,317.04 = 390.95/x
  3. Step 3: Cross multiply
    877.76x = 1,317.04 × 390.95
  4. Step 4: Simplify right side
    877.76x = 514,888.25
  5. Step 5: Solve for x
    x = 514,888.25/877.76
  6. Step 6: Final answer
    x = 586.60

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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.