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Finding the Fourth Proportional to 738.17, 1,106.78 and 315.53

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Solution

The fourth proportional to 738.17, 1,106.78 and 315.53 is: 473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.17 : 1,106.78 = 315.53 : x
  2. Step 2: Convert to fraction form
    738.17/1,106.78 = 315.53/x
  3. Step 3: Cross multiply
    738.17x = 1,106.78 × 315.53
  4. Step 4: Simplify right side
    738.17x = 349,216.76
  5. Step 5: Solve for x
    x = 349,216.76/738.17
  6. Step 6: Final answer
    x = 473.09

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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.