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Finding the Fourth Proportional to 905.13, 1,358.24 and 597.87

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Solution

The fourth proportional to 905.13, 1,358.24 and 597.87 is: 897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.13 : 1,358.24 = 597.87 : x
  2. Step 2: Convert to fraction form
    905.13/1,358.24 = 597.87/x
  3. Step 3: Cross multiply
    905.13x = 1,358.24 × 597.87
  4. Step 4: Simplify right side
    905.13x = 812,047.96
  5. Step 5: Solve for x
    x = 812,047.96/905.13
  6. Step 6: Final answer
    x = 897.16

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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.