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Finding the Fourth Proportional to 1,009.14, 1,513.67 and 315.81

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Solution

The fourth proportional to 1,009.14, 1,513.67 and 315.81 is: 473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.14 : 1,513.67 = 315.81 : x
  2. Step 2: Convert to fraction form
    1,009.14/1,513.67 = 315.81/x
  3. Step 3: Cross multiply
    1,009.14x = 1,513.67 × 315.81
  4. Step 4: Simplify right side
    1,009.14x = 478,032.12
  5. Step 5: Solve for x
    x = 478,032.12/1,009.14
  6. Step 6: Final answer
    x = 473.70

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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.