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Finding the Fourth Proportional to 1,556.53, 2,334.80 and 460.78

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Solution

The fourth proportional to 1,556.53, 2,334.80 and 460.78 is: 691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.53 : 2,334.80 = 460.78 : x
  2. Step 2: Convert to fraction form
    1,556.53/2,334.80 = 460.78/x
  3. Step 3: Cross multiply
    1,556.53x = 2,334.80 × 460.78
  4. Step 4: Simplify right side
    1,556.53x = 1,075,829.14
  5. Step 5: Solve for x
    x = 1,075,829.14/1,556.53
  6. Step 6: Final answer
    x = 691.17

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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.