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Finding the Fourth Proportional to 763.89, 1,054.49 and 498.66

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Solution

The fourth proportional to 763.89, 1,054.49 and 498.66 is: 688.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.89 : 1,054.49 = 498.66 : x
  2. Step 2: Convert to fraction form
    763.89/1,054.49 = 498.66/x
  3. Step 3: Cross multiply
    763.89x = 1,054.49 × 498.66
  4. Step 4: Simplify right side
    763.89x = 525,829.49
  5. Step 5: Solve for x
    x = 525,829.49/763.89
  6. Step 6: Final answer
    x = 688.36

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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.