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Finding the Fourth Proportional to 2,888.06, 4,332.05 and 696.77

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Solution

The fourth proportional to 2,888.06, 4,332.05 and 696.77 is: 1,045.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.06 : 4,332.05 = 696.77 : x
  2. Step 2: Convert to fraction form
    2,888.06/4,332.05 = 696.77/x
  3. Step 3: Cross multiply
    2,888.06x = 4,332.05 × 696.77
  4. Step 4: Simplify right side
    2,888.06x = 3,018,444.22
  5. Step 5: Solve for x
    x = 3,018,444.22/2,888.06
  6. Step 6: Final answer
    x = 1,045.15

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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.