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Finding the Fourth Proportional to 904.34, 1,356.78 and 471.80

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Solution

The fourth proportional to 904.34, 1,356.78 and 471.80 is: 707.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.34 : 1,356.78 = 471.80 : x
  2. Step 2: Convert to fraction form
    904.34/1,356.78 = 471.80/x
  3. Step 3: Cross multiply
    904.34x = 1,356.78 × 471.80
  4. Step 4: Simplify right side
    904.34x = 640,128.80
  5. Step 5: Solve for x
    x = 640,128.80/904.34
  6. Step 6: Final answer
    x = 707.84

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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.