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Finding the Fourth Proportional to 1,018.70, 1,528.85 and 470.95

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Solution

The fourth proportional to 1,018.70, 1,528.85 and 470.95 is: 706.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.70 : 1,528.85 = 470.95 : x
  2. Step 2: Convert to fraction form
    1,018.70/1,528.85 = 470.95/x
  3. Step 3: Cross multiply
    1,018.70x = 1,528.85 × 470.95
  4. Step 4: Simplify right side
    1,018.70x = 720,001.91
  5. Step 5: Solve for x
    x = 720,001.91/1,018.70
  6. Step 6: Final answer
    x = 706.79

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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.