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Finding the Fourth Proportional to 783.41, 1,080.69 and 468.57

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Solution

The fourth proportional to 783.41, 1,080.69 and 468.57 is: 646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.41 : 1,080.69 = 468.57 : x
  2. Step 2: Convert to fraction form
    783.41/1,080.69 = 468.57/x
  3. Step 3: Cross multiply
    783.41x = 1,080.69 × 468.57
  4. Step 4: Simplify right side
    783.41x = 506,377.77
  5. Step 5: Solve for x
    x = 506,377.77/783.41
  6. Step 6: Final answer
    x = 646.38

Related Problems

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Double scale
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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.