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Finding the Fourth Proportional to 908.51, 1,363.57 and 648.50

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Solution

The fourth proportional to 908.51, 1,363.57 and 648.50 is: 973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.51 : 1,363.57 = 648.50 : x
  2. Step 2: Convert to fraction form
    908.51/1,363.57 = 648.50/x
  3. Step 3: Cross multiply
    908.51x = 1,363.57 × 648.50
  4. Step 4: Simplify right side
    908.51x = 884,266.71
  5. Step 5: Solve for x
    x = 884,266.71/908.51
  6. Step 6: Final answer
    x = 973.32

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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.