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Finding the Fourth Proportional to 915.32, 1,368.93 and 813.26

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Solution

The fourth proportional to 915.32, 1,368.93 and 813.26 is: 1,216.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.32 : 1,368.93 = 813.26 : x
  2. Step 2: Convert to fraction form
    915.32/1,368.93 = 813.26/x
  3. Step 3: Cross multiply
    915.32x = 1,368.93 × 813.26
  4. Step 4: Simplify right side
    915.32x = 1,113,296.01
  5. Step 5: Solve for x
    x = 1,113,296.01/915.32
  6. Step 6: Final answer
    x = 1,216.29

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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.