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Finding the Fourth Proportional to 946.97, 1,307.46 and 593.03

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Solution

The fourth proportional to 946.97, 1,307.46 and 593.03 is: 818.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.97 : 1,307.46 = 593.03 : x
  2. Step 2: Convert to fraction form
    946.97/1,307.46 = 593.03/x
  3. Step 3: Cross multiply
    946.97x = 1,307.46 × 593.03
  4. Step 4: Simplify right side
    946.97x = 775,363.00
  5. Step 5: Solve for x
    x = 775,363.00/946.97
  6. Step 6: Final answer
    x = 818.78

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.