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Finding the Fourth Proportional to 910.98, 1,363.50 and 648.54

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Solution

The fourth proportional to 910.98, 1,363.50 and 648.54 is: 970.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.98 : 1,363.50 = 648.54 : x
  2. Step 2: Convert to fraction form
    910.98/1,363.50 = 648.54/x
  3. Step 3: Cross multiply
    910.98x = 1,363.50 × 648.54
  4. Step 4: Simplify right side
    910.98x = 884,284.29
  5. Step 5: Solve for x
    x = 884,284.29/910.98
  6. Step 6: Final answer
    x = 970.70

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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.