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Finding the Fourth Proportional to 946.97, 1,307.18 and 554.12

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Solution

The fourth proportional to 946.97, 1,307.18 and 554.12 is: 764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.97 : 1,307.18 = 554.12 : x
  2. Step 2: Convert to fraction form
    946.97/1,307.18 = 554.12/x
  3. Step 3: Cross multiply
    946.97x = 1,307.18 × 554.12
  4. Step 4: Simplify right side
    946.97x = 724,331.81
  5. Step 5: Solve for x
    x = 724,331.81/946.97
  6. Step 6: Final answer
    x = 764.89

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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.