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Finding the Fourth Proportional to 562.98, 840.60 and 459.09

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Solution

The fourth proportional to 562.98, 840.60 and 459.09 is: 685.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.98 : 840.60 = 459.09 : x
  2. Step 2: Convert to fraction form
    562.98/840.60 = 459.09/x
  3. Step 3: Cross multiply
    562.98x = 840.60 × 459.09
  4. Step 4: Simplify right side
    562.98x = 385,911.05
  5. Step 5: Solve for x
    x = 385,911.05/562.98
  6. Step 6: Final answer
    x = 685.48

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1.5x scale

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.