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Finding the Fourth Proportional to 904.32, 1,354.04 and 470.57

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Solution

The fourth proportional to 904.32, 1,354.04 and 470.57 is: 704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.32 : 1,354.04 = 470.57 : x
  2. Step 2: Convert to fraction form
    904.32/1,354.04 = 470.57/x
  3. Step 3: Cross multiply
    904.32x = 1,354.04 × 470.57
  4. Step 4: Simplify right side
    904.32x = 637,161.48
  5. Step 5: Solve for x
    x = 637,161.48/904.32
  6. Step 6: Final answer
    x = 704.58

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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.