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Finding the Fourth Proportional to 907.02, 1,359.48 and 386.82

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Solution

The fourth proportional to 907.02, 1,359.48 and 386.82 is: 579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.02 : 1,359.48 = 386.82 : x
  2. Step 2: Convert to fraction form
    907.02/1,359.48 = 386.82/x
  3. Step 3: Cross multiply
    907.02x = 1,359.48 × 386.82
  4. Step 4: Simplify right side
    907.02x = 525,874.05
  5. Step 5: Solve for x
    x = 525,874.05/907.02
  6. Step 6: Final answer
    x = 579.78

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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.