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Finding the Fourth Proportional to 575.16, 793.74 and 313.20

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Solution

The fourth proportional to 575.16, 793.74 and 313.20 is: 432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.16 : 793.74 = 313.20 : x
  2. Step 2: Convert to fraction form
    575.16/793.74 = 313.20/x
  3. Step 3: Cross multiply
    575.16x = 793.74 × 313.20
  4. Step 4: Simplify right side
    575.16x = 248,599.37
  5. Step 5: Solve for x
    x = 248,599.37/575.16
  6. Step 6: Final answer
    x = 432.23

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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.