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Finding the Fourth Proportional to 916.61, 1,263.79 and 783.59

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Solution

The fourth proportional to 916.61, 1,263.79 and 783.59 is: 1,080.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.61 : 1,263.79 = 783.59 : x
  2. Step 2: Convert to fraction form
    916.61/1,263.79 = 783.59/x
  3. Step 3: Cross multiply
    916.61x = 1,263.79 × 783.59
  4. Step 4: Simplify right side
    916.61x = 990,293.21
  5. Step 5: Solve for x
    x = 990,293.21/916.61
  6. Step 6: Final answer
    x = 1,080.39

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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.