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Finding the Fourth Proportional to 696.60, 1,039.86 and 645.93

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Solution

The fourth proportional to 696.60, 1,039.86 and 645.93 is: 964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.60 : 1,039.86 = 645.93 : x
  2. Step 2: Convert to fraction form
    696.60/1,039.86 = 645.93/x
  3. Step 3: Cross multiply
    696.60x = 1,039.86 × 645.93
  4. Step 4: Simplify right side
    696.60x = 671,676.77
  5. Step 5: Solve for x
    x = 671,676.77/696.60
  6. Step 6: Final answer
    x = 964.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.