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Finding the Fourth Proportional to 932.40, 1,289.70 and 761.76

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Solution

The fourth proportional to 932.40, 1,289.70 and 761.76 is: 1,053.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.40 : 1,289.70 = 761.76 : x
  2. Step 2: Convert to fraction form
    932.40/1,289.70 = 761.76/x
  3. Step 3: Cross multiply
    932.40x = 1,289.70 × 761.76
  4. Step 4: Simplify right side
    932.40x = 982,441.87
  5. Step 5: Solve for x
    x = 982,441.87/932.40
  6. Step 6: Final answer
    x = 1,053.67

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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.