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Finding the Fourth Proportional to 687.94, 1,026.55 and 671.47

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Solution

The fourth proportional to 687.94, 1,026.55 and 671.47 is: 1,001.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.94 : 1,026.55 = 671.47 : x
  2. Step 2: Convert to fraction form
    687.94/1,026.55 = 671.47/x
  3. Step 3: Cross multiply
    687.94x = 1,026.55 × 671.47
  4. Step 4: Simplify right side
    687.94x = 689,297.53
  5. Step 5: Solve for x
    x = 689,297.53/687.94
  6. Step 6: Final answer
    x = 1,001.97

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1.5x scale

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.