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Finding the Fourth Proportional to 734.56, 1,013.70 and 402.99

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Solution

The fourth proportional to 734.56, 1,013.70 and 402.99 is: 556.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.56 : 1,013.70 = 402.99 : x
  2. Step 2: Convert to fraction form
    734.56/1,013.70 = 402.99/x
  3. Step 3: Cross multiply
    734.56x = 1,013.70 × 402.99
  4. Step 4: Simplify right side
    734.56x = 408,510.96
  5. Step 5: Solve for x
    x = 408,510.96/734.56
  6. Step 6: Final answer
    x = 556.13

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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.