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Finding the Fourth Proportional to 946.52, 1,419.78 and 561.50

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Solution

The fourth proportional to 946.52, 1,419.78 and 561.50 is: 842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.52 : 1,419.78 = 561.50 : x
  2. Step 2: Convert to fraction form
    946.52/1,419.78 = 561.50/x
  3. Step 3: Cross multiply
    946.52x = 1,419.78 × 561.50
  4. Step 4: Simplify right side
    946.52x = 797,206.47
  5. Step 5: Solve for x
    x = 797,206.47/946.52
  6. Step 6: Final answer
    x = 842.25

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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.