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Finding the Fourth Proportional to 916.75, 1,261.47 and 891.24

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Solution

The fourth proportional to 916.75, 1,261.47 and 891.24 is: 1,226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.75 : 1,261.47 = 891.24 : x
  2. Step 2: Convert to fraction form
    916.75/1,261.47 = 891.24/x
  3. Step 3: Cross multiply
    916.75x = 1,261.47 × 891.24
  4. Step 4: Simplify right side
    916.75x = 1,124,272.52
  5. Step 5: Solve for x
    x = 1,124,272.52/916.75
  6. Step 6: Final answer
    x = 1,226.37

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.