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Finding the Fourth Proportional to 910.87, 1,358.28 and 902.63

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Solution

The fourth proportional to 910.87, 1,358.28 and 902.63 is: 1,346.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.87 : 1,358.28 = 902.63 : x
  2. Step 2: Convert to fraction form
    910.87/1,358.28 = 902.63/x
  3. Step 3: Cross multiply
    910.87x = 1,358.28 × 902.63
  4. Step 4: Simplify right side
    910.87x = 1,226,027.67
  5. Step 5: Solve for x
    x = 1,226,027.67/910.87
  6. Step 6: Final answer
    x = 1,346.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.