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Finding the Fourth Proportional to 603.59, 904.77 and 577.46

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Solution

The fourth proportional to 603.59, 904.77 and 577.46 is: 865.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.59 : 904.77 = 577.46 : x
  2. Step 2: Convert to fraction form
    603.59/904.77 = 577.46/x
  3. Step 3: Cross multiply
    603.59x = 904.77 × 577.46
  4. Step 4: Simplify right side
    603.59x = 522,470.75
  5. Step 5: Solve for x
    x = 522,470.75/603.59
  6. Step 6: Final answer
    x = 865.61

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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.