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Finding the Fourth Proportional to 946.67, 1,416.93 and 815.45

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Solution

The fourth proportional to 946.67, 1,416.93 and 815.45 is: 1,220.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.67 : 1,416.93 = 815.45 : x
  2. Step 2: Convert to fraction form
    946.67/1,416.93 = 815.45/x
  3. Step 3: Cross multiply
    946.67x = 1,416.93 × 815.45
  4. Step 4: Simplify right side
    946.67x = 1,155,433.40
  5. Step 5: Solve for x
    x = 1,155,433.40/946.67
  6. Step 6: Final answer
    x = 1,220.52

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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.