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Finding the Fourth Proportional to 678.16, 1,017.08 and 191.10

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Solution

The fourth proportional to 678.16, 1,017.08 and 191.10 is: 286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.16 : 1,017.08 = 191.10 : x
  2. Step 2: Convert to fraction form
    678.16/1,017.08 = 191.10/x
  3. Step 3: Cross multiply
    678.16x = 1,017.08 × 191.10
  4. Step 4: Simplify right side
    678.16x = 194,363.99
  5. Step 5: Solve for x
    x = 194,363.99/678.16
  6. Step 6: Final answer
    x = 286.60

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1.5x scale

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.