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Finding the Fourth Proportional to 877.80, 1,316.70 and 715.08

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Solution

The fourth proportional to 877.80, 1,316.70 and 715.08 is: 1,072.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.80 : 1,316.70 = 715.08 : x
  2. Step 2: Convert to fraction form
    877.80/1,316.70 = 715.08/x
  3. Step 3: Cross multiply
    877.80x = 1,316.70 × 715.08
  4. Step 4: Simplify right side
    877.80x = 941,545.84
  5. Step 5: Solve for x
    x = 941,545.84/877.80
  6. Step 6: Final answer
    x = 1,072.62

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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.