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Finding the Fourth Proportional to 923.86, 1,277.22 and 915.76

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Solution

The fourth proportional to 923.86, 1,277.22 and 915.76 is: 1,266.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.86 : 1,277.22 = 915.76 : x
  2. Step 2: Convert to fraction form
    923.86/1,277.22 = 915.76/x
  3. Step 3: Cross multiply
    923.86x = 1,277.22 × 915.76
  4. Step 4: Simplify right side
    923.86x = 1,169,626.99
  5. Step 5: Solve for x
    x = 1,169,626.99/923.86
  6. Step 6: Final answer
    x = 1,266.02

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1.5x scale

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.