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Finding the Fourth Proportional to 1,560.69, 2,341.26 and 465.39

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Solution

The fourth proportional to 1,560.69, 2,341.26 and 465.39 is: 698.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.69 : 2,341.26 = 465.39 : x
  2. Step 2: Convert to fraction form
    1,560.69/2,341.26 = 465.39/x
  3. Step 3: Cross multiply
    1,560.69x = 2,341.26 × 465.39
  4. Step 4: Simplify right side
    1,560.69x = 1,089,598.99
  5. Step 5: Solve for x
    x = 1,089,598.99/1,560.69
  6. Step 6: Final answer
    x = 698.15

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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.