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Finding the Fourth Proportional to 590.67, 881.63 and 521.48

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Solution

The fourth proportional to 590.67, 881.63 and 521.48 is: 778.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.67 : 881.63 = 521.48 : x
  2. Step 2: Convert to fraction form
    590.67/881.63 = 521.48/x
  3. Step 3: Cross multiply
    590.67x = 881.63 × 521.48
  4. Step 4: Simplify right side
    590.67x = 459,745.40
  5. Step 5: Solve for x
    x = 459,745.40/590.67
  6. Step 6: Final answer
    x = 778.35

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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.