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Finding the Fourth Proportional to 1,643.14, 2,462.76 and 602.30

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Solution

The fourth proportional to 1,643.14, 2,462.76 and 602.30 is: 902.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.14 : 2,462.76 = 602.30 : x
  2. Step 2: Convert to fraction form
    1,643.14/2,462.76 = 602.30/x
  3. Step 3: Cross multiply
    1,643.14x = 2,462.76 × 602.30
  4. Step 4: Simplify right side
    1,643.14x = 1,483,320.35
  5. Step 5: Solve for x
    x = 1,483,320.35/1,643.14
  6. Step 6: Final answer
    x = 902.74

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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.