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Finding the Fourth Proportional to 601.20, 903.60 and 590.40

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Solution

The fourth proportional to 601.20, 903.60 and 590.40 is: 887.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.20 : 903.60 = 590.40 : x
  2. Step 2: Convert to fraction form
    601.20/903.60 = 590.40/x
  3. Step 3: Cross multiply
    601.20x = 903.60 × 590.40
  4. Step 4: Simplify right side
    601.20x = 533,485.44
  5. Step 5: Solve for x
    x = 533,485.44/601.20
  6. Step 6: Final answer
    x = 887.37

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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.