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Finding the Fourth Proportional to 783.51, 1,080.64 and 503.78

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Solution

The fourth proportional to 783.51, 1,080.64 and 503.78 is: 694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.51 : 1,080.64 = 503.78 : x
  2. Step 2: Convert to fraction form
    783.51/1,080.64 = 503.78/x
  3. Step 3: Cross multiply
    783.51x = 1,080.64 × 503.78
  4. Step 4: Simplify right side
    783.51x = 544,400.05
  5. Step 5: Solve for x
    x = 544,400.05/783.51
  6. Step 6: Final answer
    x = 694.82

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1.5x scale

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.