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Finding the Fourth Proportional to 946.98, 1,306.62 and 574.02

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Solution

The fourth proportional to 946.98, 1,306.62 and 574.02 is: 792.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.98 : 1,306.62 = 574.02 : x
  2. Step 2: Convert to fraction form
    946.98/1,306.62 = 574.02/x
  3. Step 3: Cross multiply
    946.98x = 1,306.62 × 574.02
  4. Step 4: Simplify right side
    946.98x = 750,026.01
  5. Step 5: Solve for x
    x = 750,026.01/946.98
  6. Step 6: Final answer
    x = 792.02

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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.