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Finding the Fourth Proportional to 930.64, 1,392.72 and 775.12

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Solution

The fourth proportional to 930.64, 1,392.72 and 775.12 is: 1,159.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.64 : 1,392.72 = 775.12 : x
  2. Step 2: Convert to fraction form
    930.64/1,392.72 = 775.12/x
  3. Step 3: Cross multiply
    930.64x = 1,392.72 × 775.12
  4. Step 4: Simplify right side
    930.64x = 1,079,525.13
  5. Step 5: Solve for x
    x = 1,079,525.13/930.64
  6. Step 6: Final answer
    x = 1,159.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.