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Finding the Fourth Proportional to 562.51, 840.70 and 518.74

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Solution

The fourth proportional to 562.51, 840.70 and 518.74 is: 775.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.51 : 840.70 = 518.74 : x
  2. Step 2: Convert to fraction form
    562.51/840.70 = 518.74/x
  3. Step 3: Cross multiply
    562.51x = 840.70 × 518.74
  4. Step 4: Simplify right side
    562.51x = 436,104.72
  5. Step 5: Solve for x
    x = 436,104.72/562.51
  6. Step 6: Final answer
    x = 775.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.