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Finding the Fourth Proportional to 946.19, 1,418.41 and 555.65

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Solution

The fourth proportional to 946.19, 1,418.41 and 555.65 is: 832.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.19 : 1,418.41 = 555.65 : x
  2. Step 2: Convert to fraction form
    946.19/1,418.41 = 555.65/x
  3. Step 3: Cross multiply
    946.19x = 1,418.41 × 555.65
  4. Step 4: Simplify right side
    946.19x = 788,139.52
  5. Step 5: Solve for x
    x = 788,139.52/946.19
  6. Step 6: Final answer
    x = 832.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.