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Finding the Fourth Proportional to 562.31, 776.95 and 404.63

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Solution

The fourth proportional to 562.31, 776.95 and 404.63 is: 559.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.31 : 776.95 = 404.63 : x
  2. Step 2: Convert to fraction form
    562.31/776.95 = 404.63/x
  3. Step 3: Cross multiply
    562.31x = 776.95 × 404.63
  4. Step 4: Simplify right side
    562.31x = 314,378.91
  5. Step 5: Solve for x
    x = 314,378.91/562.31
  6. Step 6: Final answer
    x = 559.08

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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.