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Finding the Fourth Proportional to 1,556.51, 2,334.41 and 460.61

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Solution

The fourth proportional to 1,556.51, 2,334.41 and 460.61 is: 690.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.51 : 2,334.41 = 460.61 : x
  2. Step 2: Convert to fraction form
    1,556.51/2,334.41 = 460.61/x
  3. Step 3: Cross multiply
    1,556.51x = 2,334.41 × 460.61
  4. Step 4: Simplify right side
    1,556.51x = 1,075,250.29
  5. Step 5: Solve for x
    x = 1,075,250.29/1,556.51
  6. Step 6: Final answer
    x = 690.81

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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.