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Finding the Fourth Proportional to 784.34, 1,176.47 and 322.00

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Solution

The fourth proportional to 784.34, 1,176.47 and 322.00 is: 482.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.34 : 1,176.47 = 322.00 : x
  2. Step 2: Convert to fraction form
    784.34/1,176.47 = 322.00/x
  3. Step 3: Cross multiply
    784.34x = 1,176.47 × 322.00
  4. Step 4: Simplify right side
    784.34x = 378,826.28
  5. Step 5: Solve for x
    x = 378,826.28/784.34
  6. Step 6: Final answer
    x = 482.99

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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.