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Finding the Fourth Proportional to 907.80, 1,359.24 and 474.08

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Solution

The fourth proportional to 907.80, 1,359.24 and 474.08 is: 709.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.80 : 1,359.24 = 474.08 : x
  2. Step 2: Convert to fraction form
    907.80/1,359.24 = 474.08/x
  3. Step 3: Cross multiply
    907.80x = 1,359.24 × 474.08
  4. Step 4: Simplify right side
    907.80x = 644,388.50
  5. Step 5: Solve for x
    x = 644,388.50/907.80
  6. Step 6: Final answer
    x = 709.84

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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.