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Finding the Fourth Proportional to 648.91, 894.70 and 473.95

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Solution

The fourth proportional to 648.91, 894.70 and 473.95 is: 653.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.91 : 894.70 = 473.95 : x
  2. Step 2: Convert to fraction form
    648.91/894.70 = 473.95/x
  3. Step 3: Cross multiply
    648.91x = 894.70 × 473.95
  4. Step 4: Simplify right side
    648.91x = 424,042.11
  5. Step 5: Solve for x
    x = 424,042.11/648.91
  6. Step 6: Final answer
    x = 653.47

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Why These Related Problems?

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