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Finding the Fourth Proportional to 509.28, 702.57 and 312.72

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Solution

The fourth proportional to 509.28, 702.57 and 312.72 is: 431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.28 : 702.57 = 312.72 : x
  2. Step 2: Convert to fraction form
    509.28/702.57 = 312.72/x
  3. Step 3: Cross multiply
    509.28x = 702.57 × 312.72
  4. Step 4: Simplify right side
    509.28x = 219,707.69
  5. Step 5: Solve for x
    x = 219,707.69/509.28
  6. Step 6: Final answer
    x = 431.41

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