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Finding the Fourth Proportional to 1,274.04, 1,907.88 and 907.08

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Solution

The fourth proportional to 1,274.04, 1,907.88 and 907.08 is: 1,358.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.04 : 1,907.88 = 907.08 : x
  2. Step 2: Convert to fraction form
    1,274.04/1,907.88 = 907.08/x
  3. Step 3: Cross multiply
    1,274.04x = 1,907.88 × 907.08
  4. Step 4: Simplify right side
    1,274.04x = 1,730,599.79
  5. Step 5: Solve for x
    x = 1,730,599.79/1,274.04
  6. Step 6: Final answer
    x = 1,358.36

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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.