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Finding the Fourth Proportional to 610.84, 916.08 and 286.12

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Solution

The fourth proportional to 610.84, 916.08 and 286.12 is: 429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.84 : 916.08 = 286.12 : x
  2. Step 2: Convert to fraction form
    610.84/916.08 = 286.12/x
  3. Step 3: Cross multiply
    610.84x = 916.08 × 286.12
  4. Step 4: Simplify right side
    610.84x = 262,108.81
  5. Step 5: Solve for x
    x = 262,108.81/610.84
  6. Step 6: Final answer
    x = 429.10

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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.