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Finding the Fourth Proportional to 1,051.68, 1,570.86 and 877.20

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Solution

The fourth proportional to 1,051.68, 1,570.86 and 877.20 is: 1,310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.68 : 1,570.86 = 877.20 : x
  2. Step 2: Convert to fraction form
    1,051.68/1,570.86 = 877.20/x
  3. Step 3: Cross multiply
    1,051.68x = 1,570.86 × 877.20
  4. Step 4: Simplify right side
    1,051.68x = 1,377,958.39
  5. Step 5: Solve for x
    x = 1,377,958.39/1,051.68
  6. Step 6: Final answer
    x = 1,310.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.