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Finding the Fourth Proportional to 927.12, 1,277.64 and 693.84

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Solution

The fourth proportional to 927.12, 1,277.64 and 693.84 is: 956.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.12 : 1,277.64 = 693.84 : x
  2. Step 2: Convert to fraction form
    927.12/1,277.64 = 693.84/x
  3. Step 3: Cross multiply
    927.12x = 1,277.64 × 693.84
  4. Step 4: Simplify right side
    927.12x = 886,477.74
  5. Step 5: Solve for x
    x = 886,477.74/927.12
  6. Step 6: Final answer
    x = 956.16

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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.