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Finding the Fourth Proportional to 856.98, 1,285.62 and 510.60

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Solution

The fourth proportional to 856.98, 1,285.62 and 510.60 is: 765.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.98 : 1,285.62 = 510.60 : x
  2. Step 2: Convert to fraction form
    856.98/1,285.62 = 510.60/x
  3. Step 3: Cross multiply
    856.98x = 1,285.62 × 510.60
  4. Step 4: Simplify right side
    856.98x = 656,437.57
  5. Step 5: Solve for x
    x = 656,437.57/856.98
  6. Step 6: Final answer
    x = 765.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.