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Finding the Fourth Proportional to 975.50, 1,347.28 and 757.10

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Solution

The fourth proportional to 975.50, 1,347.28 and 757.10 is: 1,045.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.50 : 1,347.28 = 757.10 : x
  2. Step 2: Convert to fraction form
    975.50/1,347.28 = 757.10/x
  3. Step 3: Cross multiply
    975.50x = 1,347.28 × 757.10
  4. Step 4: Simplify right side
    975.50x = 1,020,025.69
  5. Step 5: Solve for x
    x = 1,020,025.69/975.50
  6. Step 6: Final answer
    x = 1,045.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.