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Finding the Fourth Proportional to 907.83, 1,357.56 and 674.01

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Solution

The fourth proportional to 907.83, 1,357.56 and 674.01 is: 1,007.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.83 : 1,357.56 = 674.01 : x
  2. Step 2: Convert to fraction form
    907.83/1,357.56 = 674.01/x
  3. Step 3: Cross multiply
    907.83x = 1,357.56 × 674.01
  4. Step 4: Simplify right side
    907.83x = 915,009.02
  5. Step 5: Solve for x
    x = 915,009.02/907.83
  6. Step 6: Final answer
    x = 1,007.91

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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.