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Finding the Fourth Proportional to 783.96, 1,174.80 and 431.82

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Solution

The fourth proportional to 783.96, 1,174.80 and 431.82 is: 647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.96 : 1,174.80 = 431.82 : x
  2. Step 2: Convert to fraction form
    783.96/1,174.80 = 431.82/x
  3. Step 3: Cross multiply
    783.96x = 1,174.80 × 431.82
  4. Step 4: Simplify right side
    783.96x = 507,302.14
  5. Step 5: Solve for x
    x = 507,302.14/783.96
  6. Step 6: Final answer
    x = 647.10

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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.