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Finding the Fourth Proportional to 1,055.95, 1,584.14 and 536.25

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Solution

The fourth proportional to 1,055.95, 1,584.14 and 536.25 is: 804.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.95 : 1,584.14 = 536.25 : x
  2. Step 2: Convert to fraction form
    1,055.95/1,584.14 = 536.25/x
  3. Step 3: Cross multiply
    1,055.95x = 1,584.14 × 536.25
  4. Step 4: Simplify right side
    1,055.95x = 849,495.08
  5. Step 5: Solve for x
    x = 849,495.08/1,055.95
  6. Step 6: Final answer
    x = 804.48

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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.