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Finding the Fourth Proportional to 738.54, 1,018.71 and 561.15

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Solution

The fourth proportional to 738.54, 1,018.71 and 561.15 is: 774.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.54 : 1,018.71 = 561.15 : x
  2. Step 2: Convert to fraction form
    738.54/1,018.71 = 561.15/x
  3. Step 3: Cross multiply
    738.54x = 1,018.71 × 561.15
  4. Step 4: Simplify right side
    738.54x = 571,649.12
  5. Step 5: Solve for x
    x = 571,649.12/738.54
  6. Step 6: Final answer
    x = 774.03

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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.