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Finding the Fourth Proportional to 877.53, 1,209.13 and 719.63

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Solution

The fourth proportional to 877.53, 1,209.13 and 719.63 is: 991.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.53 : 1,209.13 = 719.63 : x
  2. Step 2: Convert to fraction form
    877.53/1,209.13 = 719.63/x
  3. Step 3: Cross multiply
    877.53x = 1,209.13 × 719.63
  4. Step 4: Simplify right side
    877.53x = 870,129.71
  5. Step 5: Solve for x
    x = 870,129.71/877.53
  6. Step 6: Final answer
    x = 991.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.