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Finding the Fourth Proportional to 823.80, 1,136.32 and 509.16

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Solution

The fourth proportional to 823.80, 1,136.32 and 509.16 is: 702.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.80 : 1,136.32 = 509.16 : x
  2. Step 2: Convert to fraction form
    823.80/1,136.32 = 509.16/x
  3. Step 3: Cross multiply
    823.80x = 1,136.32 × 509.16
  4. Step 4: Simplify right side
    823.80x = 578,568.69
  5. Step 5: Solve for x
    x = 578,568.69/823.80
  6. Step 6: Final answer
    x = 702.32

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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.