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Finding the Fourth Proportional to 786.98, 1,085.53 and 492.19

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Solution

The fourth proportional to 786.98, 1,085.53 and 492.19 is: 678.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.98 : 1,085.53 = 492.19 : x
  2. Step 2: Convert to fraction form
    786.98/1,085.53 = 492.19/x
  3. Step 3: Cross multiply
    786.98x = 1,085.53 × 492.19
  4. Step 4: Simplify right side
    786.98x = 534,287.01
  5. Step 5: Solve for x
    x = 534,287.01/786.98
  6. Step 6: Final answer
    x = 678.91

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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.