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Finding the Fourth Proportional to 603.96, 904.50 and 539.16

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Solution

The fourth proportional to 603.96, 904.50 and 539.16 is: 807.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.96 : 904.50 = 539.16 : x
  2. Step 2: Convert to fraction form
    603.96/904.50 = 539.16/x
  3. Step 3: Cross multiply
    603.96x = 904.50 × 539.16
  4. Step 4: Simplify right side
    603.96x = 487,670.22
  5. Step 5: Solve for x
    x = 487,670.22/603.96
  6. Step 6: Final answer
    x = 807.45

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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.