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Finding the Fourth Proportional to 889.51, 1,226.05 and 594.67

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Solution

The fourth proportional to 889.51, 1,226.05 and 594.67 is: 819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.51 : 1,226.05 = 594.67 : x
  2. Step 2: Convert to fraction form
    889.51/1,226.05 = 594.67/x
  3. Step 3: Cross multiply
    889.51x = 1,226.05 × 594.67
  4. Step 4: Simplify right side
    889.51x = 729,095.15
  5. Step 5: Solve for x
    x = 729,095.15/889.51
  6. Step 6: Final answer
    x = 819.66

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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.