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Finding the Fourth Proportional to 1,580.52, 2,370.51 and 426

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Solution

The fourth proportional to 1,580.52, 2,370.51 and 426 is: 638.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.52 : 2,370.51 = 426 : x
  2. Step 2: Convert to fraction form
    1,580.52/2,370.51 = 426/x
  3. Step 3: Cross multiply
    1,580.52x = 2,370.51 × 426
  4. Step 4: Simplify right side
    1,580.52x = 1,009,837.26
  5. Step 5: Solve for x
    x = 1,009,837.26/1,580.52
  6. Step 6: Final answer
    x = 638.93

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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.