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Finding the Fourth Proportional to 1,566.74, 2,350.55 and 785.80

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Solution

The fourth proportional to 1,566.74, 2,350.55 and 785.80 is: 1,178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.74 : 2,350.55 = 785.80 : x
  2. Step 2: Convert to fraction form
    1,566.74/2,350.55 = 785.80/x
  3. Step 3: Cross multiply
    1,566.74x = 2,350.55 × 785.80
  4. Step 4: Simplify right side
    1,566.74x = 1,847,062.19
  5. Step 5: Solve for x
    x = 1,847,062.19/1,566.74
  6. Step 6: Final answer
    x = 1,178.92

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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.