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Finding the Fourth Proportional to 1,317.15, 1,977.26 and 925.53

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Solution

The fourth proportional to 1,317.15, 1,977.26 and 925.53 is: 1,389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.15 : 1,977.26 = 925.53 : x
  2. Step 2: Convert to fraction form
    1,317.15/1,977.26 = 925.53/x
  3. Step 3: Cross multiply
    1,317.15x = 1,977.26 × 925.53
  4. Step 4: Simplify right side
    1,317.15x = 1,830,008.82
  5. Step 5: Solve for x
    x = 1,830,008.82/1,317.15
  6. Step 6: Final answer
    x = 1,389.37

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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.