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Finding the Fourth Proportional to 651.98, 982.56 and 587.06

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Solution

The fourth proportional to 651.98, 982.56 and 587.06 is: 884.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.98 : 982.56 = 587.06 : x
  2. Step 2: Convert to fraction form
    651.98/982.56 = 587.06/x
  3. Step 3: Cross multiply
    651.98x = 982.56 × 587.06
  4. Step 4: Simplify right side
    651.98x = 576,818.74
  5. Step 5: Solve for x
    x = 576,818.74/651.98
  6. Step 6: Final answer
    x = 884.72

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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.