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Finding the Fourth Proportional to 975.36, 1,346.90 and 626.66

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Solution

The fourth proportional to 975.36, 1,346.90 and 626.66 is: 865.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.36 : 1,346.90 = 626.66 : x
  2. Step 2: Convert to fraction form
    975.36/1,346.90 = 626.66/x
  3. Step 3: Cross multiply
    975.36x = 1,346.90 × 626.66
  4. Step 4: Simplify right side
    975.36x = 844,038.49
  5. Step 5: Solve for x
    x = 844,038.49/975.36
  6. Step 6: Final answer
    x = 865.36

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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.