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Finding the Fourth Proportional to 916.25, 1,374.85 and 587.36

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Solution

The fourth proportional to 916.25, 1,374.85 and 587.36 is: 881.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.25 : 1,374.85 = 587.36 : x
  2. Step 2: Convert to fraction form
    916.25/1,374.85 = 587.36/x
  3. Step 3: Cross multiply
    916.25x = 1,374.85 × 587.36
  4. Step 4: Simplify right side
    916.25x = 807,533.86
  5. Step 5: Solve for x
    x = 807,533.86/916.25
  6. Step 6: Final answer
    x = 881.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.