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Finding the Fourth Proportional to 1,051.36, 1,577.76 and 538.72

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Solution

The fourth proportional to 1,051.36, 1,577.76 and 538.72 is: 808.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.36 : 1,577.76 = 538.72 : x
  2. Step 2: Convert to fraction form
    1,051.36/1,577.76 = 538.72/x
  3. Step 3: Cross multiply
    1,051.36x = 1,577.76 × 538.72
  4. Step 4: Simplify right side
    1,051.36x = 849,970.87
  5. Step 5: Solve for x
    x = 849,970.87/1,051.36
  6. Step 6: Final answer
    x = 808.45

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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.