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Finding the Fourth Proportional to 1,678.86, 2,518.70 and 583.07

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Solution

The fourth proportional to 1,678.86, 2,518.70 and 583.07 is: 874.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.86 : 2,518.70 = 583.07 : x
  2. Step 2: Convert to fraction form
    1,678.86/2,518.70 = 583.07/x
  3. Step 3: Cross multiply
    1,678.86x = 2,518.70 × 583.07
  4. Step 4: Simplify right side
    1,678.86x = 1,468,562.90
  5. Step 5: Solve for x
    x = 1,468,562.90/1,678.86
  6. Step 6: Final answer
    x = 874.74

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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.