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Finding the Fourth Proportional to 898.21, 1,345.87 and 589.83

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Solution

The fourth proportional to 898.21, 1,345.87 and 589.83 is: 883.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.21 : 1,345.87 = 589.83 : x
  2. Step 2: Convert to fraction form
    898.21/1,345.87 = 589.83/x
  3. Step 3: Cross multiply
    898.21x = 1,345.87 × 589.83
  4. Step 4: Simplify right side
    898.21x = 793,834.50
  5. Step 5: Solve for x
    x = 793,834.50/898.21
  6. Step 6: Final answer
    x = 883.80

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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.