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Finding the Fourth Proportional to 858.02, 1,183.98 and 526.46

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Solution

The fourth proportional to 858.02, 1,183.98 and 526.46 is: 726.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.02 : 1,183.98 = 526.46 : x
  2. Step 2: Convert to fraction form
    858.02/1,183.98 = 526.46/x
  3. Step 3: Cross multiply
    858.02x = 1,183.98 × 526.46
  4. Step 4: Simplify right side
    858.02x = 623,318.11
  5. Step 5: Solve for x
    x = 623,318.11/858.02
  6. Step 6: Final answer
    x = 726.46

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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.