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Finding the Fourth Proportional to 873.25, 1,205.36 and 562.75

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Solution

The fourth proportional to 873.25, 1,205.36 and 562.75 is: 776.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.25 : 1,205.36 = 562.75 : x
  2. Step 2: Convert to fraction form
    873.25/1,205.36 = 562.75/x
  3. Step 3: Cross multiply
    873.25x = 1,205.36 × 562.75
  4. Step 4: Simplify right side
    873.25x = 678,316.34
  5. Step 5: Solve for x
    x = 678,316.34/873.25
  6. Step 6: Final answer
    x = 776.77

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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.