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Finding the Fourth Proportional to 1,149.38, 1,714.12 and 977.14

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Solution

The fourth proportional to 1,149.38, 1,714.12 and 977.14 is: 1,457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.38 : 1,714.12 = 977.14 : x
  2. Step 2: Convert to fraction form
    1,149.38/1,714.12 = 977.14/x
  3. Step 3: Cross multiply
    1,149.38x = 1,714.12 × 977.14
  4. Step 4: Simplify right side
    1,149.38x = 1,674,935.22
  5. Step 5: Solve for x
    x = 1,674,935.22/1,149.38
  6. Step 6: Final answer
    x = 1,457.25

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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.