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Finding the Fourth Proportional to 1,317.58, 1,817.90 and 897.18

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Solution

The fourth proportional to 1,317.58, 1,817.90 and 897.18 is: 1,237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.58 : 1,817.90 = 897.18 : x
  2. Step 2: Convert to fraction form
    1,317.58/1,817.90 = 897.18/x
  3. Step 3: Cross multiply
    1,317.58x = 1,817.90 × 897.18
  4. Step 4: Simplify right side
    1,317.58x = 1,630,983.52
  5. Step 5: Solve for x
    x = 1,630,983.52/1,317.58
  6. Step 6: Final answer
    x = 1,237.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.