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Finding the Fourth Proportional to 1,566.65, 2,348.40 and 785.45

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Solution

The fourth proportional to 1,566.65, 2,348.40 and 785.45 is: 1,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.65 : 2,348.40 = 785.45 : x
  2. Step 2: Convert to fraction form
    1,566.65/2,348.40 = 785.45/x
  3. Step 3: Cross multiply
    1,566.65x = 2,348.40 × 785.45
  4. Step 4: Simplify right side
    1,566.65x = 1,844,550.78
  5. Step 5: Solve for x
    x = 1,844,550.78/1,566.65
  6. Step 6: Final answer
    x = 1,177.39

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1.5x scale

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.