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Finding the Fourth Proportional to 950.04, 1,310.89 and 530.30

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Solution

The fourth proportional to 950.04, 1,310.89 and 530.30 is: 731.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.04 : 1,310.89 = 530.30 : x
  2. Step 2: Convert to fraction form
    950.04/1,310.89 = 530.30/x
  3. Step 3: Cross multiply
    950.04x = 1,310.89 × 530.30
  4. Step 4: Simplify right side
    950.04x = 695,164.97
  5. Step 5: Solve for x
    x = 695,164.97/950.04
  6. Step 6: Final answer
    x = 731.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.