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Finding the Fourth Proportional to 897.04, 1,345.53 and 281.04

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Solution

The fourth proportional to 897.04, 1,345.53 and 281.04 is: 421.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.04 : 1,345.53 = 281.04 : x
  2. Step 2: Convert to fraction form
    897.04/1,345.53 = 281.04/x
  3. Step 3: Cross multiply
    897.04x = 1,345.53 × 281.04
  4. Step 4: Simplify right side
    897.04x = 378,141.02
  5. Step 5: Solve for x
    x = 378,141.02/897.04
  6. Step 6: Final answer
    x = 421.54

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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.