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Finding the Fourth Proportional to 1,009.19, 1,513.95 and 315.72

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Solution

The fourth proportional to 1,009.19, 1,513.95 and 315.72 is: 473.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.19 : 1,513.95 = 315.72 : x
  2. Step 2: Convert to fraction form
    1,009.19/1,513.95 = 315.72/x
  3. Step 3: Cross multiply
    1,009.19x = 1,513.95 × 315.72
  4. Step 4: Simplify right side
    1,009.19x = 477,984.89
  5. Step 5: Solve for x
    x = 477,984.89/1,009.19
  6. Step 6: Final answer
    x = 473.63

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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.