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Finding the Fourth Proportional to 916.30, 1,374.58 and 331.34

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Solution

The fourth proportional to 916.30, 1,374.58 and 331.34 is: 497.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.30 : 1,374.58 = 331.34 : x
  2. Step 2: Convert to fraction form
    916.30/1,374.58 = 331.34/x
  3. Step 3: Cross multiply
    916.30x = 1,374.58 × 331.34
  4. Step 4: Simplify right side
    916.30x = 455,457.19
  5. Step 5: Solve for x
    x = 455,457.19/916.30
  6. Step 6: Final answer
    x = 497.06

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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.