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Finding the Fourth Proportional to 953.46, 1,430.19 and 466.65

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Solution

The fourth proportional to 953.46, 1,430.19 and 466.65 is: 699.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.46 : 1,430.19 = 466.65 : x
  2. Step 2: Convert to fraction form
    953.46/1,430.19 = 466.65/x
  3. Step 3: Cross multiply
    953.46x = 1,430.19 × 466.65
  4. Step 4: Simplify right side
    953.46x = 667,398.16
  5. Step 5: Solve for x
    x = 667,398.16/953.46
  6. Step 6: Final answer
    x = 699.98

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Double scale
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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.