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Finding the Fourth Proportional to 1,492.59, 2,059.13 and 902.78

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Solution

The fourth proportional to 1,492.59, 2,059.13 and 902.78 is: 1,245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.59 : 2,059.13 = 902.78 : x
  2. Step 2: Convert to fraction form
    1,492.59/2,059.13 = 902.78/x
  3. Step 3: Cross multiply
    1,492.59x = 2,059.13 × 902.78
  4. Step 4: Simplify right side
    1,492.59x = 1,858,941.38
  5. Step 5: Solve for x
    x = 1,858,941.38/1,492.59
  6. Step 6: Final answer
    x = 1,245.45

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1.5x scale

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.