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Finding the Fourth Proportional to 945.60, 1,303.20 and 932.16

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Solution

The fourth proportional to 945.60, 1,303.20 and 932.16 is: 1,284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.60 : 1,303.20 = 932.16 : x
  2. Step 2: Convert to fraction form
    945.60/1,303.20 = 932.16/x
  3. Step 3: Cross multiply
    945.60x = 1,303.20 × 932.16
  4. Step 4: Simplify right side
    945.60x = 1,214,790.91
  5. Step 5: Solve for x
    x = 1,214,790.91/945.60
  6. Step 6: Final answer
    x = 1,284.68

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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.