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Finding the Fourth Proportional to 897.57, 1,354.75 and 897.57

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Solution

The fourth proportional to 897.57, 1,354.75 and 897.57 is: 1,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.57 : 1,354.75 = 897.57 : x
  2. Step 2: Convert to fraction form
    897.57/1,354.75 = 897.57/x
  3. Step 3: Cross multiply
    897.57x = 1,354.75 × 897.57
  4. Step 4: Simplify right side
    897.57x = 1,215,980.71
  5. Step 5: Solve for x
    x = 1,215,980.71/897.57
  6. Step 6: Final answer
    x = 1,354.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.