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Finding the Fourth Proportional to 907.34, 1,353.14 and 790.70

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Solution

The fourth proportional to 907.34, 1,353.14 and 790.70 is: 1,179.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.34 : 1,353.14 = 790.70 : x
  2. Step 2: Convert to fraction form
    907.34/1,353.14 = 790.70/x
  3. Step 3: Cross multiply
    907.34x = 1,353.14 × 790.70
  4. Step 4: Simplify right side
    907.34x = 1,069,927.80
  5. Step 5: Solve for x
    x = 1,069,927.80/907.34
  6. Step 6: Final answer
    x = 1,179.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.