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Finding the Fourth Proportional to 1,393.16, 2,087.90 and 570.47

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Solution

The fourth proportional to 1,393.16, 2,087.90 and 570.47 is: 854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.16 : 2,087.90 = 570.47 : x
  2. Step 2: Convert to fraction form
    1,393.16/2,087.90 = 570.47/x
  3. Step 3: Cross multiply
    1,393.16x = 2,087.90 × 570.47
  4. Step 4: Simplify right side
    1,393.16x = 1,191,071.02
  5. Step 5: Solve for x
    x = 1,191,071.02/1,393.16
  6. Step 6: Final answer
    x = 854.95

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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.