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Finding the Fourth Proportional to 948.84, 1,420.87 and 601.12

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Solution

The fourth proportional to 948.84, 1,420.87 and 601.12 is: 900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.84 : 1,420.87 = 601.12 : x
  2. Step 2: Convert to fraction form
    948.84/1,420.87 = 601.12/x
  3. Step 3: Cross multiply
    948.84x = 1,420.87 × 601.12
  4. Step 4: Simplify right side
    948.84x = 854,113.37
  5. Step 5: Solve for x
    x = 854,113.37/948.84
  6. Step 6: Final answer
    x = 900.17

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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.