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Finding the Fourth Proportional to 648.08, 972.12 and 282.77

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Solution

The fourth proportional to 648.08, 972.12 and 282.77 is: 424.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.08 : 972.12 = 282.77 : x
  2. Step 2: Convert to fraction form
    648.08/972.12 = 282.77/x
  3. Step 3: Cross multiply
    648.08x = 972.12 × 282.77
  4. Step 4: Simplify right side
    648.08x = 274,890.10
  5. Step 5: Solve for x
    x = 274,890.10/648.08
  6. Step 6: Final answer
    x = 424.16

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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.