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Finding the Fourth Proportional to 946.89, 1,308.32 and 913.62

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Solution

The fourth proportional to 946.89, 1,308.32 and 913.62 is: 1,262.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.89 : 1,308.32 = 913.62 : x
  2. Step 2: Convert to fraction form
    946.89/1,308.32 = 913.62/x
  3. Step 3: Cross multiply
    946.89x = 1,308.32 × 913.62
  4. Step 4: Simplify right side
    946.89x = 1,195,311.08
  5. Step 5: Solve for x
    x = 1,195,311.08/946.89
  6. Step 6: Final answer
    x = 1,262.35

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1.5x scale

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.