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Finding the Fourth Proportional to 575.43, 857.65 and 465.27

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Solution

The fourth proportional to 575.43, 857.65 and 465.27 is: 693.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.43 : 857.65 = 465.27 : x
  2. Step 2: Convert to fraction form
    575.43/857.65 = 465.27/x
  3. Step 3: Cross multiply
    575.43x = 857.65 × 465.27
  4. Step 4: Simplify right side
    575.43x = 399,036.49
  5. Step 5: Solve for x
    x = 399,036.49/575.43
  6. Step 6: Final answer
    x = 693.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.