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Finding the Fourth Proportional to 923.50, 1,273.93 and 591.55

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Solution

The fourth proportional to 923.50, 1,273.93 and 591.55 is: 816.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.50 : 1,273.93 = 591.55 : x
  2. Step 2: Convert to fraction form
    923.50/1,273.93 = 591.55/x
  3. Step 3: Cross multiply
    923.50x = 1,273.93 × 591.55
  4. Step 4: Simplify right side
    923.50x = 753,595.79
  5. Step 5: Solve for x
    x = 753,595.79/923.50
  6. Step 6: Final answer
    x = 816.02

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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.