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Finding the Fourth Proportional to 975.63, 1,459.92 and 910.45

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Solution

The fourth proportional to 975.63, 1,459.92 and 910.45 is: 1,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.63 : 1,459.92 = 910.45 : x
  2. Step 2: Convert to fraction form
    975.63/1,459.92 = 910.45/x
  3. Step 3: Cross multiply
    975.63x = 1,459.92 × 910.45
  4. Step 4: Simplify right side
    975.63x = 1,329,184.16
  5. Step 5: Solve for x
    x = 1,329,184.16/975.63
  6. Step 6: Final answer
    x = 1,362.39

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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.