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Finding the Fourth Proportional to 754.47, 1,041.66 and 530.73

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Solution

The fourth proportional to 754.47, 1,041.66 and 530.73 is: 732.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.47 : 1,041.66 = 530.73 : x
  2. Step 2: Convert to fraction form
    754.47/1,041.66 = 530.73/x
  3. Step 3: Cross multiply
    754.47x = 1,041.66 × 530.73
  4. Step 4: Simplify right side
    754.47x = 552,840.21
  5. Step 5: Solve for x
    x = 552,840.21/754.47
  6. Step 6: Final answer
    x = 732.75

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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.