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Finding the Fourth Proportional to 946.37, 1,411.93 and 824.87

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Solution

The fourth proportional to 946.37, 1,411.93 and 824.87 is: 1,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.37 : 1,411.93 = 824.87 : x
  2. Step 2: Convert to fraction form
    946.37/1,411.93 = 824.87/x
  3. Step 3: Cross multiply
    946.37x = 1,411.93 × 824.87
  4. Step 4: Simplify right side
    946.37x = 1,164,658.70
  5. Step 5: Solve for x
    x = 1,164,658.70/946.37
  6. Step 6: Final answer
    x = 1,230.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.