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Finding the Fourth Proportional to 945.32, 1,419.02 and 697.76

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Solution

The fourth proportional to 945.32, 1,419.02 and 697.76 is: 1,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.32 : 1,419.02 = 697.76 : x
  2. Step 2: Convert to fraction form
    945.32/1,419.02 = 697.76/x
  3. Step 3: Cross multiply
    945.32x = 1,419.02 × 697.76
  4. Step 4: Simplify right side
    945.32x = 990,124.81
  5. Step 5: Solve for x
    x = 990,124.81/945.32
  6. Step 6: Final answer
    x = 1,047.40

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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.