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Finding the Fourth Proportional to 645.50, 966.66 and 370.74

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Solution

The fourth proportional to 645.50, 966.66 and 370.74 is: 555.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.50 : 966.66 = 370.74 : x
  2. Step 2: Convert to fraction form
    645.50/966.66 = 370.74/x
  3. Step 3: Cross multiply
    645.50x = 966.66 × 370.74
  4. Step 4: Simplify right side
    645.50x = 358,379.53
  5. Step 5: Solve for x
    x = 358,379.53/645.50
  6. Step 6: Final answer
    x = 555.20

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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.