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Finding the Fourth Proportional to 1,325.82, 1,988.75 and 460.16

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Solution

The fourth proportional to 1,325.82, 1,988.75 and 460.16 is: 690.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.82 : 1,988.75 = 460.16 : x
  2. Step 2: Convert to fraction form
    1,325.82/1,988.75 = 460.16/x
  3. Step 3: Cross multiply
    1,325.82x = 1,988.75 × 460.16
  4. Step 4: Simplify right side
    1,325.82x = 915,143.20
  5. Step 5: Solve for x
    x = 915,143.20/1,325.82
  6. Step 6: Final answer
    x = 690.25

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Double scale
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1.5x scale

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.