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Finding the Fourth Proportional to 737.16, 1,015.98 and 581.64

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Solution

The fourth proportional to 737.16, 1,015.98 and 581.64 is: 801.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.16 : 1,015.98 = 581.64 : x
  2. Step 2: Convert to fraction form
    737.16/1,015.98 = 581.64/x
  3. Step 3: Cross multiply
    737.16x = 1,015.98 × 581.64
  4. Step 4: Simplify right side
    737.16x = 590,934.61
  5. Step 5: Solve for x
    x = 590,934.61/737.16
  6. Step 6: Final answer
    x = 801.64

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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.