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Finding the Fourth Proportional to 1,151.20, 1,726.68 and 603.16

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Solution

The fourth proportional to 1,151.20, 1,726.68 and 603.16 is: 904.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.20 : 1,726.68 = 603.16 : x
  2. Step 2: Convert to fraction form
    1,151.20/1,726.68 = 603.16/x
  3. Step 3: Cross multiply
    1,151.20x = 1,726.68 × 603.16
  4. Step 4: Simplify right side
    1,151.20x = 1,041,464.31
  5. Step 5: Solve for x
    x = 1,041,464.31/1,151.20
  6. Step 6: Final answer
    x = 904.68

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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.