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Finding the Fourth Proportional to 907.80, 1,253.04 and 534.75

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Solution

The fourth proportional to 907.80, 1,253.04 and 534.75 is: 738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.80 : 1,253.04 = 534.75 : x
  2. Step 2: Convert to fraction form
    907.80/1,253.04 = 534.75/x
  3. Step 3: Cross multiply
    907.80x = 1,253.04 × 534.75
  4. Step 4: Simplify right side
    907.80x = 670,063.14
  5. Step 5: Solve for x
    x = 670,063.14/907.80
  6. Step 6: Final answer
    x = 738.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.