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Finding the Fourth Proportional to 653.49, 975.17 and 584.25

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Solution

The fourth proportional to 653.49, 975.17 and 584.25 is: 871.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.49 : 975.17 = 584.25 : x
  2. Step 2: Convert to fraction form
    653.49/975.17 = 584.25/x
  3. Step 3: Cross multiply
    653.49x = 975.17 × 584.25
  4. Step 4: Simplify right side
    653.49x = 569,740.15
  5. Step 5: Solve for x
    x = 569,740.15/653.49
  6. Step 6: Final answer
    x = 871.84

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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.