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Finding the Fourth Proportional to 575.37, 790.74 and 538.92

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Solution

The fourth proportional to 575.37, 790.74 and 538.92 is: 740.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.37 : 790.74 = 538.92 : x
  2. Step 2: Convert to fraction form
    575.37/790.74 = 538.92/x
  3. Step 3: Cross multiply
    575.37x = 790.74 × 538.92
  4. Step 4: Simplify right side
    575.37x = 426,145.60
  5. Step 5: Solve for x
    x = 426,145.60/575.37
  6. Step 6: Final answer
    x = 740.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.