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Finding the Fourth Proportional to 1,303.08, 1,954.74 and 977.40

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Solution

The fourth proportional to 1,303.08, 1,954.74 and 977.40 is: 1,466.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.08 : 1,954.74 = 977.40 : x
  2. Step 2: Convert to fraction form
    1,303.08/1,954.74 = 977.40/x
  3. Step 3: Cross multiply
    1,303.08x = 1,954.74 × 977.40
  4. Step 4: Simplify right side
    1,303.08x = 1,910,562.88
  5. Step 5: Solve for x
    x = 1,910,562.88/1,303.08
  6. Step 6: Final answer
    x = 1,466.19

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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.