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Finding the Fourth Proportional to 738.64, 1,105.44 and 555.58

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Solution

The fourth proportional to 738.64, 1,105.44 and 555.58 is: 831.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.64 : 1,105.44 = 555.58 : x
  2. Step 2: Convert to fraction form
    738.64/1,105.44 = 555.58/x
  3. Step 3: Cross multiply
    738.64x = 1,105.44 × 555.58
  4. Step 4: Simplify right side
    738.64x = 614,160.36
  5. Step 5: Solve for x
    x = 614,160.36/738.64
  6. Step 6: Final answer
    x = 831.47

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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.