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Finding the Fourth Proportional to 946.91, 1,307 and 573.83

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Solution

The fourth proportional to 946.91, 1,307 and 573.83 is: 792.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.91 : 1,307 = 573.83 : x
  2. Step 2: Convert to fraction form
    946.91/1,307 = 573.83/x
  3. Step 3: Cross multiply
    946.91x = 1,307 × 573.83
  4. Step 4: Simplify right side
    946.91x = 749,995.81
  5. Step 5: Solve for x
    x = 749,995.81/946.91
  6. Step 6: Final answer
    x = 792.05

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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.