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Finding the Fourth Proportional to 648.55, 971.47 and 486.01

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Solution

The fourth proportional to 648.55, 971.47 and 486.01 is: 728.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.55 : 971.47 = 486.01 : x
  2. Step 2: Convert to fraction form
    648.55/971.47 = 486.01/x
  3. Step 3: Cross multiply
    648.55x = 971.47 × 486.01
  4. Step 4: Simplify right side
    648.55x = 472,144.13
  5. Step 5: Solve for x
    x = 472,144.13/648.55
  6. Step 6: Final answer
    x = 728.00

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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.