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Finding the Fourth Proportional to 946.46, 1,307.09 and 652.13

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Solution

The fourth proportional to 946.46, 1,307.09 and 652.13 is: 900.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.46 : 1,307.09 = 652.13 : x
  2. Step 2: Convert to fraction form
    946.46/1,307.09 = 652.13/x
  3. Step 3: Cross multiply
    946.46x = 1,307.09 × 652.13
  4. Step 4: Simplify right side
    946.46x = 852,382.81
  5. Step 5: Solve for x
    x = 852,382.81/946.46
  6. Step 6: Final answer
    x = 900.61

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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.