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Finding the Fourth Proportional to 1,565.99, 2,349.44 and 743.13

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Solution

The fourth proportional to 1,565.99, 2,349.44 and 743.13 is: 1,114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.99 : 2,349.44 = 743.13 : x
  2. Step 2: Convert to fraction form
    1,565.99/2,349.44 = 743.13/x
  3. Step 3: Cross multiply
    1,565.99x = 2,349.44 × 743.13
  4. Step 4: Simplify right side
    1,565.99x = 1,745,935.63
  5. Step 5: Solve for x
    x = 1,745,935.63/1,565.99
  6. Step 6: Final answer
    x = 1,114.91

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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.