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Finding the Fourth Proportional to 603.59, 904.71 and 459.01

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Solution

The fourth proportional to 603.59, 904.71 and 459.01 is: 687.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.59 : 904.71 = 459.01 : x
  2. Step 2: Convert to fraction form
    603.59/904.71 = 459.01/x
  3. Step 3: Cross multiply
    603.59x = 904.71 × 459.01
  4. Step 4: Simplify right side
    603.59x = 415,266.41
  5. Step 5: Solve for x
    x = 415,266.41/603.59
  6. Step 6: Final answer
    x = 687.99

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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.