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Finding the Fourth Proportional to 902.10, 1,353.15 and 780

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Solution

The fourth proportional to 902.10, 1,353.15 and 780 is: 1,170

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.10 : 1,353.15 = 780 : x
  2. Step 2: Convert to fraction form
    902.10/1,353.15 = 780/x
  3. Step 3: Cross multiply
    902.10x = 1,353.15 × 780
  4. Step 4: Simplify right side
    902.10x = 1,055,457
  5. Step 5: Solve for x
    x = 1,055,457/902.10
  6. Step 6: Final answer
    x = 1,170

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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.