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Finding the Fourth Proportional to 759.86, 1,048.55 and 511.14

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Solution

The fourth proportional to 759.86, 1,048.55 and 511.14 is: 705.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.86 : 1,048.55 = 511.14 : x
  2. Step 2: Convert to fraction form
    759.86/1,048.55 = 511.14/x
  3. Step 3: Cross multiply
    759.86x = 1,048.55 × 511.14
  4. Step 4: Simplify right side
    759.86x = 535,953.29
  5. Step 5: Solve for x
    x = 535,953.29/759.86
  6. Step 6: Final answer
    x = 705.34

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Double scale
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1.5x scale

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.