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Finding the Fourth Proportional to 763.65, 1,053.86 and 498.26

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Solution

The fourth proportional to 763.65, 1,053.86 and 498.26 is: 687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.65 : 1,053.86 = 498.26 : x
  2. Step 2: Convert to fraction form
    763.65/1,053.86 = 498.26/x
  3. Step 3: Cross multiply
    763.65x = 1,053.86 × 498.26
  4. Step 4: Simplify right side
    763.65x = 525,093.79
  5. Step 5: Solve for x
    x = 525,093.79/763.65
  6. Step 6: Final answer
    x = 687.62

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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.