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Finding the Fourth Proportional to 575.02, 792.81 and 469.72

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Solution

The fourth proportional to 575.02, 792.81 and 469.72 is: 647.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.02 : 792.81 = 469.72 : x
  2. Step 2: Convert to fraction form
    575.02/792.81 = 469.72/x
  3. Step 3: Cross multiply
    575.02x = 792.81 × 469.72
  4. Step 4: Simplify right side
    575.02x = 372,398.71
  5. Step 5: Solve for x
    x = 372,398.71/575.02
  6. Step 6: Final answer
    x = 647.63

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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.