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Finding the Fourth Proportional to 598.09, 897.60 and 436.81

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Solution

The fourth proportional to 598.09, 897.60 and 436.81 is: 655.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.09 : 897.60 = 436.81 : x
  2. Step 2: Convert to fraction form
    598.09/897.60 = 436.81/x
  3. Step 3: Cross multiply
    598.09x = 897.60 × 436.81
  4. Step 4: Simplify right side
    598.09x = 392,080.66
  5. Step 5: Solve for x
    x = 392,080.66/598.09
  6. Step 6: Final answer
    x = 655.55

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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.