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Finding the Fourth Proportional to 946.17, 1,305.12 and 650.93

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Solution

The fourth proportional to 946.17, 1,305.12 and 650.93 is: 897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.17 : 1,305.12 = 650.93 : x
  2. Step 2: Convert to fraction form
    946.17/1,305.12 = 650.93/x
  3. Step 3: Cross multiply
    946.17x = 1,305.12 × 650.93
  4. Step 4: Simplify right side
    946.17x = 849,535.24
  5. Step 5: Solve for x
    x = 849,535.24/946.17
  6. Step 6: Final answer
    x = 897.87

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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.