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Finding the Fourth Proportional to 1,729.81, 2,596.47 and 907.93

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Solution

The fourth proportional to 1,729.81, 2,596.47 and 907.93 is: 1,362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.81 : 2,596.47 = 907.93 : x
  2. Step 2: Convert to fraction form
    1,729.81/2,596.47 = 907.93/x
  3. Step 3: Cross multiply
    1,729.81x = 2,596.47 × 907.93
  4. Step 4: Simplify right side
    1,729.81x = 2,357,413.01
  5. Step 5: Solve for x
    x = 2,357,413.01/1,729.81
  6. Step 6: Final answer
    x = 1,362.82

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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.