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Finding the Fourth Proportional to 916.62, 1,374.53 and 291.77

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Solution

The fourth proportional to 916.62, 1,374.53 and 291.77 is: 437.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.62 : 1,374.53 = 291.77 : x
  2. Step 2: Convert to fraction form
    916.62/1,374.53 = 291.77/x
  3. Step 3: Cross multiply
    916.62x = 1,374.53 × 291.77
  4. Step 4: Simplify right side
    916.62x = 401,038.29
  5. Step 5: Solve for x
    x = 401,038.29/916.62
  6. Step 6: Final answer
    x = 437.52

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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.