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Finding the Fourth Proportional to 975.35, 1,346.90 and 626.65

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Solution

The fourth proportional to 975.35, 1,346.90 and 626.65 is: 865.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.35 : 1,346.90 = 626.65 : x
  2. Step 2: Convert to fraction form
    975.35/1,346.90 = 626.65/x
  3. Step 3: Cross multiply
    975.35x = 1,346.90 × 626.65
  4. Step 4: Simplify right side
    975.35x = 844,028.38
  5. Step 5: Solve for x
    x = 844,028.38/975.35
  6. Step 6: Final answer
    x = 865.36

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1.5x scale

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.