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Finding the Fourth Proportional to 590.05, 885.08 and 590.05

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Solution

The fourth proportional to 590.05, 885.08 and 590.05 is: 885.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.05 : 885.08 = 590.05 : x
  2. Step 2: Convert to fraction form
    590.05/885.08 = 590.05/x
  3. Step 3: Cross multiply
    590.05x = 885.08 × 590.05
  4. Step 4: Simplify right side
    590.05x = 522,241.45
  5. Step 5: Solve for x
    x = 522,241.45/590.05
  6. Step 6: Final answer
    x = 885.08

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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.