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Finding the Fourth Proportional to 575.02, 858.07 and 513.66

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Solution

The fourth proportional to 575.02, 858.07 and 513.66 is: 766.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.02 : 858.07 = 513.66 : x
  2. Step 2: Convert to fraction form
    575.02/858.07 = 513.66/x
  3. Step 3: Cross multiply
    575.02x = 858.07 × 513.66
  4. Step 4: Simplify right side
    575.02x = 440,756.24
  5. Step 5: Solve for x
    x = 440,756.24/575.02
  6. Step 6: Final answer
    x = 766.51

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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.