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Finding the Fourth Proportional to 1,316.17, 1,970.11 and 902.89

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Solution

The fourth proportional to 1,316.17, 1,970.11 and 902.89 is: 1,351.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.17 : 1,970.11 = 902.89 : x
  2. Step 2: Convert to fraction form
    1,316.17/1,970.11 = 902.89/x
  3. Step 3: Cross multiply
    1,316.17x = 1,970.11 × 902.89
  4. Step 4: Simplify right side
    1,316.17x = 1,778,792.62
  5. Step 5: Solve for x
    x = 1,778,792.62/1,316.17
  6. Step 6: Final answer
    x = 1,351.49

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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.