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Finding the Fourth Proportional to 1,406.61, 2,108.78 and 585.50

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Solution

The fourth proportional to 1,406.61, 2,108.78 and 585.50 is: 877.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.61 : 2,108.78 = 585.50 : x
  2. Step 2: Convert to fraction form
    1,406.61/2,108.78 = 585.50/x
  3. Step 3: Cross multiply
    1,406.61x = 2,108.78 × 585.50
  4. Step 4: Simplify right side
    1,406.61x = 1,234,686.66
  5. Step 5: Solve for x
    x = 1,234,686.66/1,406.61
  6. Step 6: Final answer
    x = 877.77

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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.