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Finding the Fourth Proportional to 1,071.51, 1,606.37 and 577.77

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Solution

The fourth proportional to 1,071.51, 1,606.37 and 577.77 is: 866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.51 : 1,606.37 = 577.77 : x
  2. Step 2: Convert to fraction form
    1,071.51/1,606.37 = 577.77/x
  3. Step 3: Cross multiply
    1,071.51x = 1,606.37 × 577.77
  4. Step 4: Simplify right side
    1,071.51x = 928,109.51
  5. Step 5: Solve for x
    x = 928,109.51/1,071.51
  6. Step 6: Final answer
    x = 866.17

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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.