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Finding the Fourth Proportional to 975.00, 1,460.57 and 512.08

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Solution

The fourth proportional to 975.00, 1,460.57 and 512.08 is: 767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.00 : 1,460.57 = 512.08 : x
  2. Step 2: Convert to fraction form
    975.00/1,460.57 = 512.08/x
  3. Step 3: Cross multiply
    975.00x = 1,460.57 × 512.08
  4. Step 4: Simplify right side
    975.00x = 747,926.13
  5. Step 5: Solve for x
    x = 747,926.13/975.00
  6. Step 6: Final answer
    x = 767.11

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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.