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Finding the Fourth Proportional to 678.71, 1,017.09 and 540.07

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Solution

The fourth proportional to 678.71, 1,017.09 and 540.07 is: 809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.71 : 1,017.09 = 540.07 : x
  2. Step 2: Convert to fraction form
    678.71/1,017.09 = 540.07/x
  3. Step 3: Cross multiply
    678.71x = 1,017.09 × 540.07
  4. Step 4: Simplify right side
    678.71x = 549,297.25
  5. Step 5: Solve for x
    x = 549,297.25/678.71
  6. Step 6: Final answer
    x = 809.32

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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.