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Finding the Fourth Proportional to 603.64, 900.36 and 585.41

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Solution

The fourth proportional to 603.64, 900.36 and 585.41 is: 873.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.64 : 900.36 = 585.41 : x
  2. Step 2: Convert to fraction form
    603.64/900.36 = 585.41/x
  3. Step 3: Cross multiply
    603.64x = 900.36 × 585.41
  4. Step 4: Simplify right side
    603.64x = 527,079.75
  5. Step 5: Solve for x
    x = 527,079.75/603.64
  6. Step 6: Final answer
    x = 873.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.