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Finding the Fourth Proportional to 737.89, 1,017.91 and 598.17

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Solution

The fourth proportional to 737.89, 1,017.91 and 598.17 is: 825.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.89 : 1,017.91 = 598.17 : x
  2. Step 2: Convert to fraction form
    737.89/1,017.91 = 598.17/x
  3. Step 3: Cross multiply
    737.89x = 1,017.91 × 598.17
  4. Step 4: Simplify right side
    737.89x = 608,875.14
  5. Step 5: Solve for x
    x = 608,875.14/737.89
  6. Step 6: Final answer
    x = 825.16

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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.