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Finding the Fourth Proportional to 907.31, 1,358.91 and 578.25

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Solution

The fourth proportional to 907.31, 1,358.91 and 578.25 is: 866.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.31 : 1,358.91 = 578.25 : x
  2. Step 2: Convert to fraction form
    907.31/1,358.91 = 578.25/x
  3. Step 3: Cross multiply
    907.31x = 1,358.91 × 578.25
  4. Step 4: Simplify right side
    907.31x = 785,789.71
  5. Step 5: Solve for x
    x = 785,789.71/907.31
  6. Step 6: Final answer
    x = 866.07

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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.