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Finding the Fourth Proportional to 946.98, 1,306.94 and 573.98

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Solution

The fourth proportional to 946.98, 1,306.94 and 573.98 is: 792.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.98 : 1,306.94 = 573.98 : x
  2. Step 2: Convert to fraction form
    946.98/1,306.94 = 573.98/x
  3. Step 3: Cross multiply
    946.98x = 1,306.94 × 573.98
  4. Step 4: Simplify right side
    946.98x = 750,148.02
  5. Step 5: Solve for x
    x = 750,148.02/946.98
  6. Step 6: Final answer
    x = 792.15

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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.