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Finding the Fourth Proportional to 1,051.76, 1,582.93 and 793.10

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Solution

The fourth proportional to 1,051.76, 1,582.93 and 793.10 is: 1,193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.76 : 1,582.93 = 793.10 : x
  2. Step 2: Convert to fraction form
    1,051.76/1,582.93 = 793.10/x
  3. Step 3: Cross multiply
    1,051.76x = 1,582.93 × 793.10
  4. Step 4: Simplify right side
    1,051.76x = 1,255,421.78
  5. Step 5: Solve for x
    x = 1,255,421.78/1,051.76
  6. Step 6: Final answer
    x = 1,193.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.