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Finding the Fourth Proportional to 877.11, 1,312.93 and 584.85

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Solution

The fourth proportional to 877.11, 1,312.93 and 584.85 is: 875.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.11 : 1,312.93 = 584.85 : x
  2. Step 2: Convert to fraction form
    877.11/1,312.93 = 584.85/x
  3. Step 3: Cross multiply
    877.11x = 1,312.93 × 584.85
  4. Step 4: Simplify right side
    877.11x = 767,865.65
  5. Step 5: Solve for x
    x = 767,865.65/877.11
  6. Step 6: Final answer
    x = 875.45

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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.