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Finding the Fourth Proportional to 598.81, 897.42 and 559.83

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Solution

The fourth proportional to 598.81, 897.42 and 559.83 is: 839.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.81 : 897.42 = 559.83 : x
  2. Step 2: Convert to fraction form
    598.81/897.42 = 559.83/x
  3. Step 3: Cross multiply
    598.81x = 897.42 × 559.83
  4. Step 4: Simplify right side
    598.81x = 502,402.64
  5. Step 5: Solve for x
    x = 502,402.64/598.81
  6. Step 6: Final answer
    x = 839.00

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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.