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Finding the Fourth Proportional to 597, 890.34 and 555.96

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Solution

The fourth proportional to 597, 890.34 and 555.96 is: 829.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    597 : 890.34 = 555.96 : x
  2. Step 2: Convert to fraction form
    597/890.34 = 555.96/x
  3. Step 3: Cross multiply
    597x = 890.34 × 555.96
  4. Step 4: Simplify right side
    597x = 494,993.43
  5. Step 5: Solve for x
    x = 494,993.43/597
  6. Step 6: Final answer
    x = 829.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.