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Finding the Fourth Proportional to 907.78, 1,359.90 and 473.89

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Solution

The fourth proportional to 907.78, 1,359.90 and 473.89 is: 709.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.78 : 1,359.90 = 473.89 : x
  2. Step 2: Convert to fraction form
    907.78/1,359.90 = 473.89/x
  3. Step 3: Cross multiply
    907.78x = 1,359.90 × 473.89
  4. Step 4: Simplify right side
    907.78x = 644,443.01
  5. Step 5: Solve for x
    x = 644,443.01/907.78
  6. Step 6: Final answer
    x = 709.91

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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.