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Finding the Fourth Proportional to 786.81, 1,085.80 and 437.50

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Solution

The fourth proportional to 786.81, 1,085.80 and 437.50 is: 603.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.81 : 1,085.80 = 437.50 : x
  2. Step 2: Convert to fraction form
    786.81/1,085.80 = 437.50/x
  3. Step 3: Cross multiply
    786.81x = 1,085.80 × 437.50
  4. Step 4: Simplify right side
    786.81x = 475,037.50
  5. Step 5: Solve for x
    x = 475,037.50/786.81
  6. Step 6: Final answer
    x = 603.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.