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Finding the Fourth Proportional to 757.69, 1,045.65 and 505.18

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Solution

The fourth proportional to 757.69, 1,045.65 and 505.18 is: 697.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.69 : 1,045.65 = 505.18 : x
  2. Step 2: Convert to fraction form
    757.69/1,045.65 = 505.18/x
  3. Step 3: Cross multiply
    757.69x = 1,045.65 × 505.18
  4. Step 4: Simplify right side
    757.69x = 528,238.79
  5. Step 5: Solve for x
    x = 528,238.79/757.69
  6. Step 6: Final answer
    x = 697.17

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Double scale
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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.