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Finding the Fourth Proportional to 975.28, 1,461.16 and 536.06

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Solution

The fourth proportional to 975.28, 1,461.16 and 536.06 is: 803.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.28 : 1,461.16 = 536.06 : x
  2. Step 2: Convert to fraction form
    975.28/1,461.16 = 536.06/x
  3. Step 3: Cross multiply
    975.28x = 1,461.16 × 536.06
  4. Step 4: Simplify right side
    975.28x = 783,269.43
  5. Step 5: Solve for x
    x = 783,269.43/975.28
  6. Step 6: Final answer
    x = 803.12

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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.