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Finding the Fourth Proportional to 657.30, 979.74 and 584.40

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Solution

The fourth proportional to 657.30, 979.74 and 584.40 is: 871.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.30 : 979.74 = 584.40 : x
  2. Step 2: Convert to fraction form
    657.30/979.74 = 584.40/x
  3. Step 3: Cross multiply
    657.30x = 979.74 × 584.40
  4. Step 4: Simplify right side
    657.30x = 572,560.06
  5. Step 5: Solve for x
    x = 572,560.06/657.30
  6. Step 6: Final answer
    x = 871.08

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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.