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Finding the Fourth Proportional to 854.35, 1,178.79 and 630.62

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Solution

The fourth proportional to 854.35, 1,178.79 and 630.62 is: 870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.35 : 1,178.79 = 630.62 : x
  2. Step 2: Convert to fraction form
    854.35/1,178.79 = 630.62/x
  3. Step 3: Cross multiply
    854.35x = 1,178.79 × 630.62
  4. Step 4: Simplify right side
    854.35x = 743,364.71
  5. Step 5: Solve for x
    x = 743,364.71/854.35
  6. Step 6: Final answer
    x = 870.10

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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.