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Finding the Fourth Proportional to 1,006.70, 1,509.98 and 313.38

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Solution

The fourth proportional to 1,006.70, 1,509.98 and 313.38 is: 470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.70 : 1,509.98 = 313.38 : x
  2. Step 2: Convert to fraction form
    1,006.70/1,509.98 = 313.38/x
  3. Step 3: Cross multiply
    1,006.70x = 1,509.98 × 313.38
  4. Step 4: Simplify right side
    1,006.70x = 473,195.97
  5. Step 5: Solve for x
    x = 473,195.97/1,006.70
  6. Step 6: Final answer
    x = 470.05

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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.