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Finding the Fourth Proportional to 877.65, 1,316.49 and 292.65

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Solution

The fourth proportional to 877.65, 1,316.49 and 292.65 is: 438.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.65 : 1,316.49 = 292.65 : x
  2. Step 2: Convert to fraction form
    877.65/1,316.49 = 292.65/x
  3. Step 3: Cross multiply
    877.65x = 1,316.49 × 292.65
  4. Step 4: Simplify right side
    877.65x = 385,270.80
  5. Step 5: Solve for x
    x = 385,270.80/877.65
  6. Step 6: Final answer
    x = 438.98

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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.