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Finding the Fourth Proportional to 603.70, 904.20 and 590.20

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Solution

The fourth proportional to 603.70, 904.20 and 590.20 is: 883.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.70 : 904.20 = 590.20 : x
  2. Step 2: Convert to fraction form
    603.70/904.20 = 590.20/x
  3. Step 3: Cross multiply
    603.70x = 904.20 × 590.20
  4. Step 4: Simplify right side
    603.70x = 533,658.84
  5. Step 5: Solve for x
    x = 533,658.84/603.70
  6. Step 6: Final answer
    x = 883.98

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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.