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Finding the Fourth Proportional to 611.64, 916.53 and 364.35

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Solution

The fourth proportional to 611.64, 916.53 and 364.35 is: 545.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.64 : 916.53 = 364.35 : x
  2. Step 2: Convert to fraction form
    611.64/916.53 = 364.35/x
  3. Step 3: Cross multiply
    611.64x = 916.53 × 364.35
  4. Step 4: Simplify right side
    611.64x = 333,937.71
  5. Step 5: Solve for x
    x = 333,937.71/611.64
  6. Step 6: Final answer
    x = 545.97

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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.