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Finding the Fourth Proportional to 512.58, 707.34 and 288.53

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Solution

The fourth proportional to 512.58, 707.34 and 288.53 is: 398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.58 : 707.34 = 288.53 : x
  2. Step 2: Convert to fraction form
    512.58/707.34 = 288.53/x
  3. Step 3: Cross multiply
    512.58x = 707.34 × 288.53
  4. Step 4: Simplify right side
    512.58x = 204,088.81
  5. Step 5: Solve for x
    x = 204,088.81/512.58
  6. Step 6: Final answer
    x = 398.16

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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.