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Finding the Fourth Proportional to 656.91, 980.37 and 584.01

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Solution

The fourth proportional to 656.91, 980.37 and 584.01 is: 871.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.91 : 980.37 = 584.01 : x
  2. Step 2: Convert to fraction form
    656.91/980.37 = 584.01/x
  3. Step 3: Cross multiply
    656.91x = 980.37 × 584.01
  4. Step 4: Simplify right side
    656.91x = 572,545.88
  5. Step 5: Solve for x
    x = 572,545.88/656.91
  6. Step 6: Final answer
    x = 871.57

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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.