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Finding the Fourth Proportional to 575, 792.77 and 469.97

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Solution

The fourth proportional to 575, 792.77 and 469.97 is: 647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    575 : 792.77 = 469.97 : x
  2. Step 2: Convert to fraction form
    575/792.77 = 469.97/x
  3. Step 3: Cross multiply
    575x = 792.77 × 469.97
  4. Step 4: Simplify right side
    575x = 372,578.12
  5. Step 5: Solve for x
    x = 372,578.12/575
  6. Step 6: Final answer
    x = 647.96

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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.