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Finding the Fourth Proportional to 1,239.47, 1,858.53 and 509.57

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Solution

The fourth proportional to 1,239.47, 1,858.53 and 509.57 is: 764.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.47 : 1,858.53 = 509.57 : x
  2. Step 2: Convert to fraction form
    1,239.47/1,858.53 = 509.57/x
  3. Step 3: Cross multiply
    1,239.47x = 1,858.53 × 509.57
  4. Step 4: Simplify right side
    1,239.47x = 947,051.13
  5. Step 5: Solve for x
    x = 947,051.13/1,239.47
  6. Step 6: Final answer
    x = 764.08

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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.