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Finding the Fourth Proportional to 943.12, 1,412.83 and 531.01

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Solution

The fourth proportional to 943.12, 1,412.83 and 531.01 is: 795.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.12 : 1,412.83 = 531.01 : x
  2. Step 2: Convert to fraction form
    943.12/1,412.83 = 531.01/x
  3. Step 3: Cross multiply
    943.12x = 1,412.83 × 531.01
  4. Step 4: Simplify right side
    943.12x = 750,226.86
  5. Step 5: Solve for x
    x = 750,226.86/943.12
  6. Step 6: Final answer
    x = 795.47

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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.