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Finding the Fourth Proportional to 653.48, 975.15 and 584.25

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Solution

The fourth proportional to 653.48, 975.15 and 584.25 is: 871.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.48 : 975.15 = 584.25 : x
  2. Step 2: Convert to fraction form
    653.48/975.15 = 584.25/x
  3. Step 3: Cross multiply
    653.48x = 975.15 × 584.25
  4. Step 4: Simplify right side
    653.48x = 569,731.39
  5. Step 5: Solve for x
    x = 569,731.39/653.48
  6. Step 6: Final answer
    x = 871.85

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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.