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Finding the Fourth Proportional to 698.71, 1,041.64 and 665.91

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Solution

The fourth proportional to 698.71, 1,041.64 and 665.91 is: 992.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.71 : 1,041.64 = 665.91 : x
  2. Step 2: Convert to fraction form
    698.71/1,041.64 = 665.91/x
  3. Step 3: Cross multiply
    698.71x = 1,041.64 × 665.91
  4. Step 4: Simplify right side
    698.71x = 693,638.49
  5. Step 5: Solve for x
    x = 693,638.49/698.71
  6. Step 6: Final answer
    x = 992.74

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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.