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Finding the Fourth Proportional to 736.95, 1,106.28 and 521.94

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Solution

The fourth proportional to 736.95, 1,106.28 and 521.94 is: 783.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.95 : 1,106.28 = 521.94 : x
  2. Step 2: Convert to fraction form
    736.95/1,106.28 = 521.94/x
  3. Step 3: Cross multiply
    736.95x = 1,106.28 × 521.94
  4. Step 4: Simplify right side
    736.95x = 577,411.78
  5. Step 5: Solve for x
    x = 577,411.78/736.95
  6. Step 6: Final answer
    x = 783.52

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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.