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Finding the Fourth Proportional to 738.02, 1,017.28 and 614.10

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Solution

The fourth proportional to 738.02, 1,017.28 and 614.10 is: 846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.02 : 1,017.28 = 614.10 : x
  2. Step 2: Convert to fraction form
    738.02/1,017.28 = 614.10/x
  3. Step 3: Cross multiply
    738.02x = 1,017.28 × 614.10
  4. Step 4: Simplify right side
    738.02x = 624,711.65
  5. Step 5: Solve for x
    x = 624,711.65/738.02
  6. Step 6: Final answer
    x = 846.47

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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.