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Finding the Fourth Proportional to 738.55, 1,106.79 and 348.40

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Solution

The fourth proportional to 738.55, 1,106.79 and 348.40 is: 522.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.55 : 1,106.79 = 348.40 : x
  2. Step 2: Convert to fraction form
    738.55/1,106.79 = 348.40/x
  3. Step 3: Cross multiply
    738.55x = 1,106.79 × 348.40
  4. Step 4: Simplify right side
    738.55x = 385,605.64
  5. Step 5: Solve for x
    x = 385,605.64/738.55
  6. Step 6: Final answer
    x = 522.11

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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.