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Finding the Fourth Proportional to 1,137.47, 1,697.90 and 976.19

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Solution

The fourth proportional to 1,137.47, 1,697.90 and 976.19 is: 1,457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.47 : 1,697.90 = 976.19 : x
  2. Step 2: Convert to fraction form
    1,137.47/1,697.90 = 976.19/x
  3. Step 3: Cross multiply
    1,137.47x = 1,697.90 × 976.19
  4. Step 4: Simplify right side
    1,137.47x = 1,657,473.00
  5. Step 5: Solve for x
    x = 1,657,473.00/1,137.47
  6. Step 6: Final answer
    x = 1,457.16

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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.