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Finding the Fourth Proportional to 877.06, 1,315.68 and 491.50

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Solution

The fourth proportional to 877.06, 1,315.68 and 491.50 is: 737.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.06 : 1,315.68 = 491.50 : x
  2. Step 2: Convert to fraction form
    877.06/1,315.68 = 491.50/x
  3. Step 3: Cross multiply
    877.06x = 1,315.68 × 491.50
  4. Step 4: Simplify right side
    877.06x = 646,656.72
  5. Step 5: Solve for x
    x = 646,656.72/877.06
  6. Step 6: Final answer
    x = 737.30

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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.