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Finding the Fourth Proportional to 786.93, 1,085.50 and 491.69

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Solution

The fourth proportional to 786.93, 1,085.50 and 491.69 is: 678.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.93 : 1,085.50 = 491.69 : x
  2. Step 2: Convert to fraction form
    786.93/1,085.50 = 491.69/x
  3. Step 3: Cross multiply
    786.93x = 1,085.50 × 491.69
  4. Step 4: Simplify right side
    786.93x = 533,729.50
  5. Step 5: Solve for x
    x = 533,729.50/786.93
  6. Step 6: Final answer
    x = 678.24

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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.