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Finding the Fourth Proportional to 946.85, 1,417.21 and 815.63

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Solution

The fourth proportional to 946.85, 1,417.21 and 815.63 is: 1,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.85 : 1,417.21 = 815.63 : x
  2. Step 2: Convert to fraction form
    946.85/1,417.21 = 815.63/x
  3. Step 3: Cross multiply
    946.85x = 1,417.21 × 815.63
  4. Step 4: Simplify right side
    946.85x = 1,155,920.50
  5. Step 5: Solve for x
    x = 1,155,920.50/946.85
  6. Step 6: Final answer
    x = 1,220.80

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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.