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Finding the Fourth Proportional to 1,169.61, 1,753.32 and 399.57

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Solution

The fourth proportional to 1,169.61, 1,753.32 and 399.57 is: 598.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.61 : 1,753.32 = 399.57 : x
  2. Step 2: Convert to fraction form
    1,169.61/1,753.32 = 399.57/x
  3. Step 3: Cross multiply
    1,169.61x = 1,753.32 × 399.57
  4. Step 4: Simplify right side
    1,169.61x = 700,574.07
  5. Step 5: Solve for x
    x = 700,574.07/1,169.61
  6. Step 6: Final answer
    x = 598.98

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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.