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Finding the Fourth Proportional to 923.01, 1,378.80 and 740.76

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Solution

The fourth proportional to 923.01, 1,378.80 and 740.76 is: 1,106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.01 : 1,378.80 = 740.76 : x
  2. Step 2: Convert to fraction form
    923.01/1,378.80 = 740.76/x
  3. Step 3: Cross multiply
    923.01x = 1,378.80 × 740.76
  4. Step 4: Simplify right side
    923.01x = 1,021,359.89
  5. Step 5: Solve for x
    x = 1,021,359.89/923.01
  6. Step 6: Final answer
    x = 1,106.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.