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Finding the Fourth Proportional to 696.92, 1,045.74 and 312.08

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Solution

The fourth proportional to 696.92, 1,045.74 and 312.08 is: 468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.92 : 1,045.74 = 312.08 : x
  2. Step 2: Convert to fraction form
    696.92/1,045.74 = 312.08/x
  3. Step 3: Cross multiply
    696.92x = 1,045.74 × 312.08
  4. Step 4: Simplify right side
    696.92x = 326,354.54
  5. Step 5: Solve for x
    x = 326,354.54/696.92
  6. Step 6: Final answer
    x = 468.28

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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.