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Finding the Fourth Proportional to 509.23, 702.54 and 288.13

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Solution

The fourth proportional to 509.23, 702.54 and 288.13 is: 397.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.23 : 702.54 = 288.13 : x
  2. Step 2: Convert to fraction form
    509.23/702.54 = 288.13/x
  3. Step 3: Cross multiply
    509.23x = 702.54 × 288.13
  4. Step 4: Simplify right side
    509.23x = 202,422.85
  5. Step 5: Solve for x
    x = 202,422.85/509.23
  6. Step 6: Final answer
    x = 397.51

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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.