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Finding the Fourth Proportional to 784.49, 1,180.85 and 603.99

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Solution

The fourth proportional to 784.49, 1,180.85 and 603.99 is: 909.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.49 : 1,180.85 = 603.99 : x
  2. Step 2: Convert to fraction form
    784.49/1,180.85 = 603.99/x
  3. Step 3: Cross multiply
    784.49x = 1,180.85 × 603.99
  4. Step 4: Simplify right side
    784.49x = 713,218.57
  5. Step 5: Solve for x
    x = 713,218.57/784.49
  6. Step 6: Final answer
    x = 909.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.