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Finding the Fourth Proportional to 783.77, 1,080.99 and 469.08

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Solution

The fourth proportional to 783.77, 1,080.99 and 469.08 is: 646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.77 : 1,080.99 = 469.08 : x
  2. Step 2: Convert to fraction form
    783.77/1,080.99 = 469.08/x
  3. Step 3: Cross multiply
    783.77x = 1,080.99 × 469.08
  4. Step 4: Simplify right side
    783.77x = 507,070.79
  5. Step 5: Solve for x
    x = 507,070.79/783.77
  6. Step 6: Final answer
    x = 646.97

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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.