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Finding the Fourth Proportional to 975.36, 1,469.12 and 907.74

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Solution

The fourth proportional to 975.36, 1,469.12 and 907.74 is: 1,367.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.36 : 1,469.12 = 907.74 : x
  2. Step 2: Convert to fraction form
    975.36/1,469.12 = 907.74/x
  3. Step 3: Cross multiply
    975.36x = 1,469.12 × 907.74
  4. Step 4: Simplify right side
    975.36x = 1,333,574.45
  5. Step 5: Solve for x
    x = 1,333,574.45/975.36
  6. Step 6: Final answer
    x = 1,367.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.