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Finding the Fourth Proportional to 677.36, 937.22 and 590.24

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Solution

The fourth proportional to 677.36, 937.22 and 590.24 is: 816.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.36 : 937.22 = 590.24 : x
  2. Step 2: Convert to fraction form
    677.36/937.22 = 590.24/x
  3. Step 3: Cross multiply
    677.36x = 937.22 × 590.24
  4. Step 4: Simplify right side
    677.36x = 553,182.17
  5. Step 5: Solve for x
    x = 553,182.17/677.36
  6. Step 6: Final answer
    x = 816.67

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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.