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Finding the Fourth Proportional to 738.39, 1,018.59 and 598.66

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Solution

The fourth proportional to 738.39, 1,018.59 and 598.66 is: 825.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.39 : 1,018.59 = 598.66 : x
  2. Step 2: Convert to fraction form
    738.39/1,018.59 = 598.66/x
  3. Step 3: Cross multiply
    738.39x = 1,018.59 × 598.66
  4. Step 4: Simplify right side
    738.39x = 609,789.09
  5. Step 5: Solve for x
    x = 609,789.09/738.39
  6. Step 6: Final answer
    x = 825.84

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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.