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Finding the Fourth Proportional to 784.34, 1,081.64 and 469.55

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Solution

The fourth proportional to 784.34, 1,081.64 and 469.55 is: 647.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.34 : 1,081.64 = 469.55 : x
  2. Step 2: Convert to fraction form
    784.34/1,081.64 = 469.55/x
  3. Step 3: Cross multiply
    784.34x = 1,081.64 × 469.55
  4. Step 4: Simplify right side
    784.34x = 507,884.42
  5. Step 5: Solve for x
    x = 507,884.42/784.34
  6. Step 6: Final answer
    x = 647.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.