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Finding the Fourth Proportional to 1,556.71, 2,334.83 and 430.71

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Solution

The fourth proportional to 1,556.71, 2,334.83 and 430.71 is: 646.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.71 : 2,334.83 = 430.71 : x
  2. Step 2: Convert to fraction form
    1,556.71/2,334.83 = 430.71/x
  3. Step 3: Cross multiply
    1,556.71x = 2,334.83 × 430.71
  4. Step 4: Simplify right side
    1,556.71x = 1,005,636.85
  5. Step 5: Solve for x
    x = 1,005,636.85/1,556.71
  6. Step 6: Final answer
    x = 646.00

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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.