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Finding the Fourth Proportional to 946.50, 1,306.34 and 904.99

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Solution

The fourth proportional to 946.50, 1,306.34 and 904.99 is: 1,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.50 : 1,306.34 = 904.99 : x
  2. Step 2: Convert to fraction form
    946.50/1,306.34 = 904.99/x
  3. Step 3: Cross multiply
    946.50x = 1,306.34 × 904.99
  4. Step 4: Simplify right side
    946.50x = 1,182,223.63
  5. Step 5: Solve for x
    x = 1,182,223.63/946.50
  6. Step 6: Final answer
    x = 1,249.05

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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.