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Finding the Fourth Proportional to 1,376.85, 2,065.76 and 586.61

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Solution

The fourth proportional to 1,376.85, 2,065.76 and 586.61 is: 880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.85 : 2,065.76 = 586.61 : x
  2. Step 2: Convert to fraction form
    1,376.85/2,065.76 = 586.61/x
  3. Step 3: Cross multiply
    1,376.85x = 2,065.76 × 586.61
  4. Step 4: Simplify right side
    1,376.85x = 1,211,795.47
  5. Step 5: Solve for x
    x = 1,211,795.47/1,376.85
  6. Step 6: Final answer
    x = 880.12

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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.