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Finding the Fourth Proportional to 1,317.67, 1,976.77 and 907.00

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Solution

The fourth proportional to 1,317.67, 1,976.77 and 907.00 is: 1,360.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.67 : 1,976.77 = 907.00 : x
  2. Step 2: Convert to fraction form
    1,317.67/1,976.77 = 907.00/x
  3. Step 3: Cross multiply
    1,317.67x = 1,976.77 × 907.00
  4. Step 4: Simplify right side
    1,317.67x = 1,792,926.58
  5. Step 5: Solve for x
    x = 1,792,926.58/1,317.67
  6. Step 6: Final answer
    x = 1,360.68

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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.