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Finding the Fourth Proportional to 648.61, 894.45 and 524.19

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Solution

The fourth proportional to 648.61, 894.45 and 524.19 is: 722.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.61 : 894.45 = 524.19 : x
  2. Step 2: Convert to fraction form
    648.61/894.45 = 524.19/x
  3. Step 3: Cross multiply
    648.61x = 894.45 × 524.19
  4. Step 4: Simplify right side
    648.61x = 468,861.75
  5. Step 5: Solve for x
    x = 468,861.75/648.61
  6. Step 6: Final answer
    x = 722.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.