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Finding the Fourth Proportional to 823.37, 1,136.63 and 473.99

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Solution

The fourth proportional to 823.37, 1,136.63 and 473.99 is: 654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.37 : 1,136.63 = 473.99 : x
  2. Step 2: Convert to fraction form
    823.37/1,136.63 = 473.99/x
  3. Step 3: Cross multiply
    823.37x = 1,136.63 × 473.99
  4. Step 4: Simplify right side
    823.37x = 538,746.76
  5. Step 5: Solve for x
    x = 538,746.76/823.37
  6. Step 6: Final answer
    x = 654.32

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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.