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Finding the Fourth Proportional to 678.10, 1,017.14 and 165.10

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Solution

The fourth proportional to 678.10, 1,017.14 and 165.10 is: 247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.10 : 1,017.14 = 165.10 : x
  2. Step 2: Convert to fraction form
    678.10/1,017.14 = 165.10/x
  3. Step 3: Cross multiply
    678.10x = 1,017.14 × 165.10
  4. Step 4: Simplify right side
    678.10x = 167,925.14
  5. Step 5: Solve for x
    x = 167,925.14/678.10
  6. Step 6: Final answer
    x = 247.64

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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.