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Finding the Fourth Proportional to 696.64, 1,045.08 and 407.76

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Solution

The fourth proportional to 696.64, 1,045.08 and 407.76 is: 611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.64 : 1,045.08 = 407.76 : x
  2. Step 2: Convert to fraction form
    696.64/1,045.08 = 407.76/x
  3. Step 3: Cross multiply
    696.64x = 1,045.08 × 407.76
  4. Step 4: Simplify right side
    696.64x = 426,141.82
  5. Step 5: Solve for x
    x = 426,141.82/696.64
  6. Step 6: Final answer
    x = 611.71

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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.