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Finding the Fourth Proportional to 1,580.34, 2,370.42 and 426

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Solution

The fourth proportional to 1,580.34, 2,370.42 and 426 is: 638.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.34 : 2,370.42 = 426 : x
  2. Step 2: Convert to fraction form
    1,580.34/2,370.42 = 426/x
  3. Step 3: Cross multiply
    1,580.34x = 2,370.42 × 426
  4. Step 4: Simplify right side
    1,580.34x = 1,009,798.92
  5. Step 5: Solve for x
    x = 1,009,798.92/1,580.34
  6. Step 6: Final answer
    x = 638.98

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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.