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Finding the Fourth Proportional to 562.61, 776.37 and 310.52

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Solution

The fourth proportional to 562.61, 776.37 and 310.52 is: 428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.61 : 776.37 = 310.52 : x
  2. Step 2: Convert to fraction form
    562.61/776.37 = 310.52/x
  3. Step 3: Cross multiply
    562.61x = 776.37 × 310.52
  4. Step 4: Simplify right side
    562.61x = 241,080.35
  5. Step 5: Solve for x
    x = 241,080.35/562.61
  6. Step 6: Final answer
    x = 428.50

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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.