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Finding the Fourth Proportional to 699.77, 1,054.40 and 580.70

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Solution

The fourth proportional to 699.77, 1,054.40 and 580.70 is: 874.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.77 : 1,054.40 = 580.70 : x
  2. Step 2: Convert to fraction form
    699.77/1,054.40 = 580.70/x
  3. Step 3: Cross multiply
    699.77x = 1,054.40 × 580.70
  4. Step 4: Simplify right side
    699.77x = 612,293.08
  5. Step 5: Solve for x
    x = 612,293.08/699.77
  6. Step 6: Final answer
    x = 874.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.