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Finding the Fourth Proportional to 1,160.25, 1,740.93 and 510.90

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Solution

The fourth proportional to 1,160.25, 1,740.93 and 510.90 is: 766.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.25 : 1,740.93 = 510.90 : x
  2. Step 2: Convert to fraction form
    1,160.25/1,740.93 = 510.90/x
  3. Step 3: Cross multiply
    1,160.25x = 1,740.93 × 510.90
  4. Step 4: Simplify right side
    1,160.25x = 889,441.14
  5. Step 5: Solve for x
    x = 889,441.14/1,160.25
  6. Step 6: Final answer
    x = 766.59

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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.