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Finding the Fourth Proportional to 946.58, 1,305.09 and 614.88

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Solution

The fourth proportional to 946.58, 1,305.09 and 614.88 is: 847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.58 : 1,305.09 = 614.88 : x
  2. Step 2: Convert to fraction form
    946.58/1,305.09 = 614.88/x
  3. Step 3: Cross multiply
    946.58x = 1,305.09 × 614.88
  4. Step 4: Simplify right side
    946.58x = 802,473.74
  5. Step 5: Solve for x
    x = 802,473.74/946.58
  6. Step 6: Final answer
    x = 847.77

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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.