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Finding the Fourth Proportional to 923.85, 1,275.20 and 569.88

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Solution

The fourth proportional to 923.85, 1,275.20 and 569.88 is: 786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.85 : 1,275.20 = 569.88 : x
  2. Step 2: Convert to fraction form
    923.85/1,275.20 = 569.88/x
  3. Step 3: Cross multiply
    923.85x = 1,275.20 × 569.88
  4. Step 4: Simplify right side
    923.85x = 726,715.64
  5. Step 5: Solve for x
    x = 726,715.64/923.85
  6. Step 6: Final answer
    x = 786.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.