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Finding the Fourth Proportional to 1,047.21, 1,570.78 and 561.21

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Solution

The fourth proportional to 1,047.21, 1,570.78 and 561.21 is: 841.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.21 : 1,570.78 = 561.21 : x
  2. Step 2: Convert to fraction form
    1,047.21/1,570.78 = 561.21/x
  3. Step 3: Cross multiply
    1,047.21x = 1,570.78 × 561.21
  4. Step 4: Simplify right side
    1,047.21x = 881,537.44
  5. Step 5: Solve for x
    x = 881,537.44/1,047.21
  6. Step 6: Final answer
    x = 841.80

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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.