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Finding the Fourth Proportional to 527.15, 788.54 and 476.53

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Solution

The fourth proportional to 527.15, 788.54 and 476.53 is: 712.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.15 : 788.54 = 476.53 : x
  2. Step 2: Convert to fraction form
    527.15/788.54 = 476.53/x
  3. Step 3: Cross multiply
    527.15x = 788.54 × 476.53
  4. Step 4: Simplify right side
    527.15x = 375,762.19
  5. Step 5: Solve for x
    x = 375,762.19/527.15
  6. Step 6: Final answer
    x = 712.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.