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Finding the Fourth Proportional to 527.94, 728.55 and 295.07

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Solution

The fourth proportional to 527.94, 728.55 and 295.07 is: 407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.94 : 728.55 = 295.07 : x
  2. Step 2: Convert to fraction form
    527.94/728.55 = 295.07/x
  3. Step 3: Cross multiply
    527.94x = 728.55 × 295.07
  4. Step 4: Simplify right side
    527.94x = 214,969.61
  5. Step 5: Solve for x
    x = 214,969.61/527.94
  6. Step 6: Final answer
    x = 407.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.