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Finding the Fourth Proportional to 927.16, 1,390.01 and 464.70

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Solution

The fourth proportional to 927.16, 1,390.01 and 464.70 is: 696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.16 : 1,390.01 = 464.70 : x
  2. Step 2: Convert to fraction form
    927.16/1,390.01 = 464.70/x
  3. Step 3: Cross multiply
    927.16x = 1,390.01 × 464.70
  4. Step 4: Simplify right side
    927.16x = 645,937.65
  5. Step 5: Solve for x
    x = 645,937.65/927.16
  6. Step 6: Final answer
    x = 696.68

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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.