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Finding the Fourth Proportional to 1,709.19, 2,564.12 and 598.71

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Solution

The fourth proportional to 1,709.19, 2,564.12 and 598.71 is: 898.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.19 : 2,564.12 = 598.71 : x
  2. Step 2: Convert to fraction form
    1,709.19/2,564.12 = 598.71/x
  3. Step 3: Cross multiply
    1,709.19x = 2,564.12 × 598.71
  4. Step 4: Simplify right side
    1,709.19x = 1,535,164.29
  5. Step 5: Solve for x
    x = 1,535,164.29/1,709.19
  6. Step 6: Final answer
    x = 898.18

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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.