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Finding the Fourth Proportional to 1,590.53, 2,385.46 and 603

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Solution

The fourth proportional to 1,590.53, 2,385.46 and 603 is: 904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.53 : 2,385.46 = 603 : x
  2. Step 2: Convert to fraction form
    1,590.53/2,385.46 = 603/x
  3. Step 3: Cross multiply
    1,590.53x = 2,385.46 × 603
  4. Step 4: Simplify right side
    1,590.53x = 1,438,433.13
  5. Step 5: Solve for x
    x = 1,438,433.13/1,590.53
  6. Step 6: Final answer
    x = 904.38

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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.