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Finding the Fourth Proportional to 512.81, 764.09 and 510.77

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Solution

The fourth proportional to 512.81, 764.09 and 510.77 is: 761.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.81 : 764.09 = 510.77 : x
  2. Step 2: Convert to fraction form
    512.81/764.09 = 510.77/x
  3. Step 3: Cross multiply
    512.81x = 764.09 × 510.77
  4. Step 4: Simplify right side
    512.81x = 390,271.71
  5. Step 5: Solve for x
    x = 390,271.71/512.81
  6. Step 6: Final answer
    x = 761.04

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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.