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Finding the Fourth Proportional to 1,314.51, 1,971.78 and 902.40

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Solution

The fourth proportional to 1,314.51, 1,971.78 and 902.40 is: 1,353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.51 : 1,971.78 = 902.40 : x
  2. Step 2: Convert to fraction form
    1,314.51/1,971.78 = 902.40/x
  3. Step 3: Cross multiply
    1,314.51x = 1,971.78 × 902.40
  4. Step 4: Simplify right side
    1,314.51x = 1,779,334.27
  5. Step 5: Solve for x
    x = 1,779,334.27/1,314.51
  6. Step 6: Final answer
    x = 1,353.61

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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.