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Finding the Fourth Proportional to 781.65, 1,173.33 and 575.58

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Solution

The fourth proportional to 781.65, 1,173.33 and 575.58 is: 864.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.65 : 1,173.33 = 575.58 : x
  2. Step 2: Convert to fraction form
    781.65/1,173.33 = 575.58/x
  3. Step 3: Cross multiply
    781.65x = 1,173.33 × 575.58
  4. Step 4: Simplify right side
    781.65x = 675,345.28
  5. Step 5: Solve for x
    x = 675,345.28/781.65
  6. Step 6: Final answer
    x = 864.00

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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.