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Finding the Fourth Proportional to 1,604.90, 2,407.07 and 565.67

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Solution

The fourth proportional to 1,604.90, 2,407.07 and 565.67 is: 848.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.90 : 2,407.07 = 565.67 : x
  2. Step 2: Convert to fraction form
    1,604.90/2,407.07 = 565.67/x
  3. Step 3: Cross multiply
    1,604.90x = 2,407.07 × 565.67
  4. Step 4: Simplify right side
    1,604.90x = 1,361,592.42
  5. Step 5: Solve for x
    x = 1,361,592.42/1,604.90
  6. Step 6: Final answer
    x = 848.40

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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.