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Finding the Fourth Proportional to 1,602.90, 2,406.18 and 1,497.20

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Solution

The fourth proportional to 1,602.90, 2,406.18 and 1,497.20 is: 2,247.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.90 : 2,406.18 = 1,497.20 : x
  2. Step 2: Convert to fraction form
    1,602.90/2,406.18 = 1,497.20/x
  3. Step 3: Cross multiply
    1,602.90x = 2,406.18 × 1,497.20
  4. Step 4: Simplify right side
    1,602.90x = 3,602,532.70
  5. Step 5: Solve for x
    x = 3,602,532.70/1,602.90
  6. Step 6: Final answer
    x = 2,247.51

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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.