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Finding the Fourth Proportional to 1,054.00, 1,580.93 and 504.51

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Solution

The fourth proportional to 1,054.00, 1,580.93 and 504.51 is: 756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.00 : 1,580.93 = 504.51 : x
  2. Step 2: Convert to fraction form
    1,054.00/1,580.93 = 504.51/x
  3. Step 3: Cross multiply
    1,054.00x = 1,580.93 × 504.51
  4. Step 4: Simplify right side
    1,054.00x = 797,600.17
  5. Step 5: Solve for x
    x = 797,600.17/1,054.00
  6. Step 6: Final answer
    x = 756.74

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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.