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Finding the Fourth Proportional to 611.49, 916.80 and 286.68

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Solution

The fourth proportional to 611.49, 916.80 and 286.68 is: 429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.49 : 916.80 = 286.68 : x
  2. Step 2: Convert to fraction form
    611.49/916.80 = 286.68/x
  3. Step 3: Cross multiply
    611.49x = 916.80 × 286.68
  4. Step 4: Simplify right side
    611.49x = 262,828.22
  5. Step 5: Solve for x
    x = 262,828.22/611.49
  6. Step 6: Final answer
    x = 429.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.