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Finding the Fourth Proportional to 1,057.35, 1,585.68 and 509.19

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Solution

The fourth proportional to 1,057.35, 1,585.68 and 509.19 is: 763.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.35 : 1,585.68 = 509.19 : x
  2. Step 2: Convert to fraction form
    1,057.35/1,585.68 = 509.19/x
  3. Step 3: Cross multiply
    1,057.35x = 1,585.68 × 509.19
  4. Step 4: Simplify right side
    1,057.35x = 807,412.40
  5. Step 5: Solve for x
    x = 807,412.40/1,057.35
  6. Step 6: Final answer
    x = 763.62

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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.