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Finding the Fourth Proportional to 932.76, 1,288.38 and 785.88

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Solution

The fourth proportional to 932.76, 1,288.38 and 785.88 is: 1,085.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.76 : 1,288.38 = 785.88 : x
  2. Step 2: Convert to fraction form
    932.76/1,288.38 = 785.88/x
  3. Step 3: Cross multiply
    932.76x = 1,288.38 × 785.88
  4. Step 4: Simplify right side
    932.76x = 1,012,512.07
  5. Step 5: Solve for x
    x = 1,012,512.07/932.76
  6. Step 6: Final answer
    x = 1,085.50

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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.