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Finding the Fourth Proportional to 910.75, 1,363.43 and 617.48

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Solution

The fourth proportional to 910.75, 1,363.43 and 617.48 is: 924.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.75 : 1,363.43 = 617.48 : x
  2. Step 2: Convert to fraction form
    910.75/1,363.43 = 617.48/x
  3. Step 3: Cross multiply
    910.75x = 1,363.43 × 617.48
  4. Step 4: Simplify right side
    910.75x = 841,895.71
  5. Step 5: Solve for x
    x = 841,895.71/910.75
  6. Step 6: Final answer
    x = 924.40

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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.