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Finding the Fourth Proportional to 854.16, 1,178.16 and 690.14

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Solution

The fourth proportional to 854.16, 1,178.16 and 690.14 is: 951.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.16 : 1,178.16 = 690.14 : x
  2. Step 2: Convert to fraction form
    854.16/1,178.16 = 690.14/x
  3. Step 3: Cross multiply
    854.16x = 1,178.16 × 690.14
  4. Step 4: Simplify right side
    854.16x = 813,095.34
  5. Step 5: Solve for x
    x = 813,095.34/854.16
  6. Step 6: Final answer
    x = 951.92

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1.5x scale

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.