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Finding the Fourth Proportional to 948.70, 1,421.48 and 578.58

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Solution

The fourth proportional to 948.70, 1,421.48 and 578.58 is: 866.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.70 : 1,421.48 = 578.58 : x
  2. Step 2: Convert to fraction form
    948.70/1,421.48 = 578.58/x
  3. Step 3: Cross multiply
    948.70x = 1,421.48 × 578.58
  4. Step 4: Simplify right side
    948.70x = 822,439.90
  5. Step 5: Solve for x
    x = 822,439.90/948.70
  6. Step 6: Final answer
    x = 866.91

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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.