Home / 1,566.27-2,349.48-916.55

Finding the Fourth Proportional to 1,566.27, 2,349.48 and 916.55

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Solution

The fourth proportional to 1,566.27, 2,349.48 and 916.55 is: 1,374.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.27 : 2,349.48 = 916.55 : x
  2. Step 2: Convert to fraction form
    1,566.27/2,349.48 = 916.55/x
  3. Step 3: Cross multiply
    1,566.27x = 2,349.48 × 916.55
  4. Step 4: Simplify right side
    1,566.27x = 2,153,404.15
  5. Step 5: Solve for x
    x = 2,153,404.15/1,566.27
  6. Step 6: Final answer
    x = 1,374.86

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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.