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Finding the Fourth Proportional to 596.99, 895.66 and 288.78

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Solution

The fourth proportional to 596.99, 895.66 and 288.78 is: 433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.99 : 895.66 = 288.78 : x
  2. Step 2: Convert to fraction form
    596.99/895.66 = 288.78/x
  3. Step 3: Cross multiply
    596.99x = 895.66 × 288.78
  4. Step 4: Simplify right side
    596.99x = 258,648.69
  5. Step 5: Solve for x
    x = 258,648.69/596.99
  6. Step 6: Final answer
    x = 433.25

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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.