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Finding the Fourth Proportional to 575.37, 789.75 and 526.16

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Solution

The fourth proportional to 575.37, 789.75 and 526.16 is: 722.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.37 : 789.75 = 526.16 : x
  2. Step 2: Convert to fraction form
    575.37/789.75 = 526.16/x
  3. Step 3: Cross multiply
    575.37x = 789.75 × 526.16
  4. Step 4: Simplify right side
    575.37x = 415,536.83
  5. Step 5: Solve for x
    x = 415,536.83/575.37
  6. Step 6: Final answer
    x = 722.21

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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.