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Finding the Fourth Proportional to 612.55, 916.70 and 378.19

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Solution

The fourth proportional to 612.55, 916.70 and 378.19 is: 565.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.55 : 916.70 = 378.19 : x
  2. Step 2: Convert to fraction form
    612.55/916.70 = 378.19/x
  3. Step 3: Cross multiply
    612.55x = 916.70 × 378.19
  4. Step 4: Simplify right side
    612.55x = 346,687.05
  5. Step 5: Solve for x
    x = 346,687.05/612.55
  6. Step 6: Final answer
    x = 565.97

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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.