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Finding the Fourth Proportional to 783.76, 1,175.80 and 322.06

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Solution

The fourth proportional to 783.76, 1,175.80 and 322.06 is: 483.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.76 : 1,175.80 = 322.06 : x
  2. Step 2: Convert to fraction form
    783.76/1,175.80 = 322.06/x
  3. Step 3: Cross multiply
    783.76x = 1,175.80 × 322.06
  4. Step 4: Simplify right side
    783.76x = 378,678.15
  5. Step 5: Solve for x
    x = 378,678.15/783.76
  6. Step 6: Final answer
    x = 483.16

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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.