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Finding the Fourth Proportional to 696.46, 1,045.77 and 665.68

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Solution

The fourth proportional to 696.46, 1,045.77 and 665.68 is: 999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.46 : 1,045.77 = 665.68 : x
  2. Step 2: Convert to fraction form
    696.46/1,045.77 = 665.68/x
  3. Step 3: Cross multiply
    696.46x = 1,045.77 × 665.68
  4. Step 4: Simplify right side
    696.46x = 696,148.17
  5. Step 5: Solve for x
    x = 696,148.17/696.46
  6. Step 6: Final answer
    x = 999.55

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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.