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Finding the Fourth Proportional to 1,605.12, 2,407.68 and 1,392.64

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Solution

The fourth proportional to 1,605.12, 2,407.68 and 1,392.64 is: 2,088.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.12 : 2,407.68 = 1,392.64 : x
  2. Step 2: Convert to fraction form
    1,605.12/2,407.68 = 1,392.64/x
  3. Step 3: Cross multiply
    1,605.12x = 2,407.68 × 1,392.64
  4. Step 4: Simplify right side
    1,605.12x = 3,353,031.48
  5. Step 5: Solve for x
    x = 3,353,031.48/1,605.12
  6. Step 6: Final answer
    x = 2,088.96

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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.