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Finding the Fourth Proportional to 1,130.67, 1,695.84 and 309.03

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Solution

The fourth proportional to 1,130.67, 1,695.84 and 309.03 is: 463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.67 : 1,695.84 = 309.03 : x
  2. Step 2: Convert to fraction form
    1,130.67/1,695.84 = 309.03/x
  3. Step 3: Cross multiply
    1,130.67x = 1,695.84 × 309.03
  4. Step 4: Simplify right side
    1,130.67x = 524,060.30
  5. Step 5: Solve for x
    x = 524,060.30/1,130.67
  6. Step 6: Final answer
    x = 463.49

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Double scale
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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.