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Finding the Fourth Proportional to 916.23, 1,370.89 and 608.83

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Solution

The fourth proportional to 916.23, 1,370.89 and 608.83 is: 910.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.23 : 1,370.89 = 608.83 : x
  2. Step 2: Convert to fraction form
    916.23/1,370.89 = 608.83/x
  3. Step 3: Cross multiply
    916.23x = 1,370.89 × 608.83
  4. Step 4: Simplify right side
    916.23x = 834,638.96
  5. Step 5: Solve for x
    x = 834,638.96/916.23
  6. Step 6: Final answer
    x = 910.95

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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.