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Finding the Fourth Proportional to 907.30, 1,273.10 and 907.30

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Solution

The fourth proportional to 907.30, 1,273.10 and 907.30 is: 1,273.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.30 : 1,273.10 = 907.30 : x
  2. Step 2: Convert to fraction form
    907.30/1,273.10 = 907.30/x
  3. Step 3: Cross multiply
    907.30x = 1,273.10 × 907.30
  4. Step 4: Simplify right side
    907.30x = 1,155,083.63
  5. Step 5: Solve for x
    x = 1,155,083.63/907.30
  6. Step 6: Final answer
    x = 1,273.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.