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Finding the Fourth Proportional to 631.86, 946.66 and 568.28

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Solution

The fourth proportional to 631.86, 946.66 and 568.28 is: 851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.86 : 946.66 = 568.28 : x
  2. Step 2: Convert to fraction form
    631.86/946.66 = 568.28/x
  3. Step 3: Cross multiply
    631.86x = 946.66 × 568.28
  4. Step 4: Simplify right side
    631.86x = 537,967.94
  5. Step 5: Solve for x
    x = 537,967.94/631.86
  6. Step 6: Final answer
    x = 851.40

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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.