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Finding the Fourth Proportional to 699.56, 1,054.30 and 658.52

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Solution

The fourth proportional to 699.56, 1,054.30 and 658.52 is: 992.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.56 : 1,054.30 = 658.52 : x
  2. Step 2: Convert to fraction form
    699.56/1,054.30 = 658.52/x
  3. Step 3: Cross multiply
    699.56x = 1,054.30 × 658.52
  4. Step 4: Simplify right side
    699.56x = 694,277.64
  5. Step 5: Solve for x
    x = 694,277.64/699.56
  6. Step 6: Final answer
    x = 992.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.