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Finding the Fourth Proportional to 675.35, 1,014.14 and 510.82

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Solution

The fourth proportional to 675.35, 1,014.14 and 510.82 is: 767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.35 : 1,014.14 = 510.82 : x
  2. Step 2: Convert to fraction form
    675.35/1,014.14 = 510.82/x
  3. Step 3: Cross multiply
    675.35x = 1,014.14 × 510.82
  4. Step 4: Simplify right side
    675.35x = 518,037.91
  5. Step 5: Solve for x
    x = 518,037.91/675.35
  6. Step 6: Final answer
    x = 767.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.