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Finding the Fourth Proportional to 948.27, 1,423.30 and 583.77

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Solution

The fourth proportional to 948.27, 1,423.30 and 583.77 is: 876.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.27 : 1,423.30 = 583.77 : x
  2. Step 2: Convert to fraction form
    948.27/1,423.30 = 583.77/x
  3. Step 3: Cross multiply
    948.27x = 1,423.30 × 583.77
  4. Step 4: Simplify right side
    948.27x = 830,879.84
  5. Step 5: Solve for x
    x = 830,879.84/948.27
  6. Step 6: Final answer
    x = 876.21

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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.