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Finding the Fourth Proportional to 575.86, 859.58 and 495.22

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Solution

The fourth proportional to 575.86, 859.58 and 495.22 is: 739.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.86 : 859.58 = 495.22 : x
  2. Step 2: Convert to fraction form
    575.86/859.58 = 495.22/x
  3. Step 3: Cross multiply
    575.86x = 859.58 × 495.22
  4. Step 4: Simplify right side
    575.86x = 425,681.21
  5. Step 5: Solve for x
    x = 425,681.21/575.86
  6. Step 6: Final answer
    x = 739.21

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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.