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Finding the Fourth Proportional to 1,477.51, 2,216.46 and 655.76

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Solution

The fourth proportional to 1,477.51, 2,216.46 and 655.76 is: 983.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.51 : 2,216.46 = 655.76 : x
  2. Step 2: Convert to fraction form
    1,477.51/2,216.46 = 655.76/x
  3. Step 3: Cross multiply
    1,477.51x = 2,216.46 × 655.76
  4. Step 4: Simplify right side
    1,477.51x = 1,453,473.81
  5. Step 5: Solve for x
    x = 1,453,473.81/1,477.51
  6. Step 6: Final answer
    x = 983.73

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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.