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Finding the Fourth Proportional to 907.69, 1,362.45 and 497.02

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Solution

The fourth proportional to 907.69, 1,362.45 and 497.02 is: 746.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.69 : 1,362.45 = 497.02 : x
  2. Step 2: Convert to fraction form
    907.69/1,362.45 = 497.02/x
  3. Step 3: Cross multiply
    907.69x = 1,362.45 × 497.02
  4. Step 4: Simplify right side
    907.69x = 677,164.90
  5. Step 5: Solve for x
    x = 677,164.90/907.69
  6. Step 6: Final answer
    x = 746.03

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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.