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Finding the Fourth Proportional to 575.43, 793.76 and 470.60

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Solution

The fourth proportional to 575.43, 793.76 and 470.60 is: 649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.43 : 793.76 = 470.60 : x
  2. Step 2: Convert to fraction form
    575.43/793.76 = 470.60/x
  3. Step 3: Cross multiply
    575.43x = 793.76 × 470.60
  4. Step 4: Simplify right side
    575.43x = 373,543.46
  5. Step 5: Solve for x
    x = 373,543.46/575.43
  6. Step 6: Final answer
    x = 649.16

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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.