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Finding the Fourth Proportional to 648.19, 972.87 and 472.65

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Solution

The fourth proportional to 648.19, 972.87 and 472.65 is: 709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.19 : 972.87 = 472.65 : x
  2. Step 2: Convert to fraction form
    648.19/972.87 = 472.65/x
  3. Step 3: Cross multiply
    648.19x = 972.87 × 472.65
  4. Step 4: Simplify right side
    648.19x = 459,827.01
  5. Step 5: Solve for x
    x = 459,827.01/648.19
  6. Step 6: Final answer
    x = 709.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.