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Finding the Fourth Proportional to 950.77, 1,420.84 and 898.12

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Solution

The fourth proportional to 950.77, 1,420.84 and 898.12 is: 1,342.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.77 : 1,420.84 = 898.12 : x
  2. Step 2: Convert to fraction form
    950.77/1,420.84 = 898.12/x
  3. Step 3: Cross multiply
    950.77x = 1,420.84 × 898.12
  4. Step 4: Simplify right side
    950.77x = 1,276,084.82
  5. Step 5: Solve for x
    x = 1,276,084.82/950.77
  6. Step 6: Final answer
    x = 1,342.16

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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.