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Finding the Fourth Proportional to 510.32, 760.56 and 509.51

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Solution

The fourth proportional to 510.32, 760.56 and 509.51 is: 759.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.32 : 760.56 = 509.51 : x
  2. Step 2: Convert to fraction form
    510.32/760.56 = 509.51/x
  3. Step 3: Cross multiply
    510.32x = 760.56 × 509.51
  4. Step 4: Simplify right side
    510.32x = 387,511.03
  5. Step 5: Solve for x
    x = 387,511.03/510.32
  6. Step 6: Final answer
    x = 759.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.