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Finding the Fourth Proportional to 977.67, 1,461.21 and 899.83

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Solution

The fourth proportional to 977.67, 1,461.21 and 899.83 is: 1,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.67 : 1,461.21 = 899.83 : x
  2. Step 2: Convert to fraction form
    977.67/1,461.21 = 899.83/x
  3. Step 3: Cross multiply
    977.67x = 1,461.21 × 899.83
  4. Step 4: Simplify right side
    977.67x = 1,314,840.59
  5. Step 5: Solve for x
    x = 1,314,840.59/977.67
  6. Step 6: Final answer
    x = 1,344.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.