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Finding the Fourth Proportional to 898.68, 1,346.78 and 782.84

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Solution

The fourth proportional to 898.68, 1,346.78 and 782.84 is: 1,173.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.68 : 1,346.78 = 782.84 : x
  2. Step 2: Convert to fraction form
    898.68/1,346.78 = 782.84/x
  3. Step 3: Cross multiply
    898.68x = 1,346.78 × 782.84
  4. Step 4: Simplify right side
    898.68x = 1,054,313.26
  5. Step 5: Solve for x
    x = 1,054,313.26/898.68
  6. Step 6: Final answer
    x = 1,173.18

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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.