Home / 1,565.26-2,346.43-784.78

Finding the Fourth Proportional to 1,565.26, 2,346.43 and 784.78

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Solution

The fourth proportional to 1,565.26, 2,346.43 and 784.78 is: 1,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.26 : 2,346.43 = 784.78 : x
  2. Step 2: Convert to fraction form
    1,565.26/2,346.43 = 784.78/x
  3. Step 3: Cross multiply
    1,565.26x = 2,346.43 × 784.78
  4. Step 4: Simplify right side
    1,565.26x = 1,841,431.34
  5. Step 5: Solve for x
    x = 1,841,431.34/1,565.26
  6. Step 6: Final answer
    x = 1,176.44

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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.