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Finding the Fourth Proportional to 897.08, 1,344.74 and 824.18

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Solution

The fourth proportional to 897.08, 1,344.74 and 824.18 is: 1,235.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.08 : 1,344.74 = 824.18 : x
  2. Step 2: Convert to fraction form
    897.08/1,344.74 = 824.18/x
  3. Step 3: Cross multiply
    897.08x = 1,344.74 × 824.18
  4. Step 4: Simplify right side
    897.08x = 1,108,307.81
  5. Step 5: Solve for x
    x = 1,108,307.81/897.08
  6. Step 6: Final answer
    x = 1,235.46

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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.