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Finding the Fourth Proportional to 603.52, 900.65 and 589.88

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Solution

The fourth proportional to 603.52, 900.65 and 589.88 is: 880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.52 : 900.65 = 589.88 : x
  2. Step 2: Convert to fraction form
    603.52/900.65 = 589.88/x
  3. Step 3: Cross multiply
    603.52x = 900.65 × 589.88
  4. Step 4: Simplify right side
    603.52x = 531,279.15
  5. Step 5: Solve for x
    x = 531,279.15/603.52
  6. Step 6: Final answer
    x = 880.30

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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.