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Finding the Fourth Proportional to 696.68, 1,045.20 and 312.20

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Solution

The fourth proportional to 696.68, 1,045.20 and 312.20 is: 468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.68 : 1,045.20 = 312.20 : x
  2. Step 2: Convert to fraction form
    696.68/1,045.20 = 312.20/x
  3. Step 3: Cross multiply
    696.68x = 1,045.20 × 312.20
  4. Step 4: Simplify right side
    696.68x = 326,311.44
  5. Step 5: Solve for x
    x = 326,311.44/696.68
  6. Step 6: Final answer
    x = 468.38

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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.