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Finding the Fourth Proportional to 921.70, 1,271.41 and 590

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Solution

The fourth proportional to 921.70, 1,271.41 and 590 is: 813.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.70 : 1,271.41 = 590 : x
  2. Step 2: Convert to fraction form
    921.70/1,271.41 = 590/x
  3. Step 3: Cross multiply
    921.70x = 1,271.41 × 590
  4. Step 4: Simplify right side
    921.70x = 750,131.90
  5. Step 5: Solve for x
    x = 750,131.90/921.70
  6. Step 6: Final answer
    x = 813.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.