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Finding the Fourth Proportional to 1,028.59, 1,419.48 and 586.51

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Solution

The fourth proportional to 1,028.59, 1,419.48 and 586.51 is: 809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.59 : 1,419.48 = 586.51 : x
  2. Step 2: Convert to fraction form
    1,028.59/1,419.48 = 586.51/x
  3. Step 3: Cross multiply
    1,028.59x = 1,419.48 × 586.51
  4. Step 4: Simplify right side
    1,028.59x = 832,535.67
  5. Step 5: Solve for x
    x = 832,535.67/1,028.59
  6. Step 6: Final answer
    x = 809.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.