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Finding the Fourth Proportional to 904.80, 1,355.76 and 579.90

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Solution

The fourth proportional to 904.80, 1,355.76 and 579.90 is: 868.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.80 : 1,355.76 = 579.90 : x
  2. Step 2: Convert to fraction form
    904.80/1,355.76 = 579.90/x
  3. Step 3: Cross multiply
    904.80x = 1,355.76 × 579.90
  4. Step 4: Simplify right side
    904.80x = 786,205.22
  5. Step 5: Solve for x
    x = 786,205.22/904.80
  6. Step 6: Final answer
    x = 868.93

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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.