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Finding the Fourth Proportional to 1,384.32, 2,074.68 and 603.40

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Solution

The fourth proportional to 1,384.32, 2,074.68 and 603.40 is: 904.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.32 : 2,074.68 = 603.40 : x
  2. Step 2: Convert to fraction form
    1,384.32/2,074.68 = 603.40/x
  3. Step 3: Cross multiply
    1,384.32x = 2,074.68 × 603.40
  4. Step 4: Simplify right side
    1,384.32x = 1,251,861.91
  5. Step 5: Solve for x
    x = 1,251,861.91/1,384.32
  6. Step 6: Final answer
    x = 904.32

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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.