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Finding the Fourth Proportional to 786.10, 1,085.38 and 590.69

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Solution

The fourth proportional to 786.10, 1,085.38 and 590.69 is: 815.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.10 : 1,085.38 = 590.69 : x
  2. Step 2: Convert to fraction form
    786.10/1,085.38 = 590.69/x
  3. Step 3: Cross multiply
    786.10x = 1,085.38 × 590.69
  4. Step 4: Simplify right side
    786.10x = 641,116.21
  5. Step 5: Solve for x
    x = 641,116.21/786.10
  6. Step 6: Final answer
    x = 815.57

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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.