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Finding the Fourth Proportional to 1,587.42, 2,190.65 and 888.75

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Solution

The fourth proportional to 1,587.42, 2,190.65 and 888.75 is: 1,226.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.42 : 2,190.65 = 888.75 : x
  2. Step 2: Convert to fraction form
    1,587.42/2,190.65 = 888.75/x
  3. Step 3: Cross multiply
    1,587.42x = 2,190.65 × 888.75
  4. Step 4: Simplify right side
    1,587.42x = 1,946,935.74
  5. Step 5: Solve for x
    x = 1,946,935.74/1,587.42
  6. Step 6: Final answer
    x = 1,226.48

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Half scale
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Double scale
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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.