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Finding the Fourth Proportional to 891.84, 1,230.75 and 498.87

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Solution

The fourth proportional to 891.84, 1,230.75 and 498.87 is: 688.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.84 : 1,230.75 = 498.87 : x
  2. Step 2: Convert to fraction form
    891.84/1,230.75 = 498.87/x
  3. Step 3: Cross multiply
    891.84x = 1,230.75 × 498.87
  4. Step 4: Simplify right side
    891.84x = 613,984.25
  5. Step 5: Solve for x
    x = 613,984.25/891.84
  6. Step 6: Final answer
    x = 688.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.