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Finding the Fourth Proportional to 877.67, 1,316.12 and 390.38

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Solution

The fourth proportional to 877.67, 1,316.12 and 390.38 is: 585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.67 : 1,316.12 = 390.38 : x
  2. Step 2: Convert to fraction form
    877.67/1,316.12 = 390.38/x
  3. Step 3: Cross multiply
    877.67x = 1,316.12 × 390.38
  4. Step 4: Simplify right side
    877.67x = 513,778.39
  5. Step 5: Solve for x
    x = 513,778.39/877.67
  6. Step 6: Final answer
    x = 585.39

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1.5x scale

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.