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Finding the Fourth Proportional to 1,130.96, 1,695.63 and 514.35

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Solution

The fourth proportional to 1,130.96, 1,695.63 and 514.35 is: 771.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.96 : 1,695.63 = 514.35 : x
  2. Step 2: Convert to fraction form
    1,130.96/1,695.63 = 514.35/x
  3. Step 3: Cross multiply
    1,130.96x = 1,695.63 × 514.35
  4. Step 4: Simplify right side
    1,130.96x = 872,147.29
  5. Step 5: Solve for x
    x = 872,147.29/1,130.96
  6. Step 6: Final answer
    x = 771.16

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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.