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Finding the Fourth Proportional to 1,571.13, 2,357.33 and 647.15

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Solution

The fourth proportional to 1,571.13, 2,357.33 and 647.15 is: 970.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.13 : 2,357.33 = 647.15 : x
  2. Step 2: Convert to fraction form
    1,571.13/2,357.33 = 647.15/x
  3. Step 3: Cross multiply
    1,571.13x = 2,357.33 × 647.15
  4. Step 4: Simplify right side
    1,571.13x = 1,525,531.09
  5. Step 5: Solve for x
    x = 1,525,531.09/1,571.13
  6. Step 6: Final answer
    x = 970.98

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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.