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Finding the Fourth Proportional to 1,055.70, 1,582.50 and 534.15

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Solution

The fourth proportional to 1,055.70, 1,582.50 and 534.15 is: 800.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.70 : 1,582.50 = 534.15 : x
  2. Step 2: Convert to fraction form
    1,055.70/1,582.50 = 534.15/x
  3. Step 3: Cross multiply
    1,055.70x = 1,582.50 × 534.15
  4. Step 4: Simplify right side
    1,055.70x = 845,292.38
  5. Step 5: Solve for x
    x = 845,292.38/1,055.70
  6. Step 6: Final answer
    x = 800.69

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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.