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Finding the Fourth Proportional to 738.65, 1,019.07 and 514.68

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Solution

The fourth proportional to 738.65, 1,019.07 and 514.68 is: 710.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.65 : 1,019.07 = 514.68 : x
  2. Step 2: Convert to fraction form
    738.65/1,019.07 = 514.68/x
  3. Step 3: Cross multiply
    738.65x = 1,019.07 × 514.68
  4. Step 4: Simplify right side
    738.65x = 524,494.95
  5. Step 5: Solve for x
    x = 524,494.95/738.65
  6. Step 6: Final answer
    x = 710.08

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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.