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Finding the Fourth Proportional to 595.19, 823.29 and 503.39

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Solution

The fourth proportional to 595.19, 823.29 and 503.39 is: 696.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.19 : 823.29 = 503.39 : x
  2. Step 2: Convert to fraction form
    595.19/823.29 = 503.39/x
  3. Step 3: Cross multiply
    595.19x = 823.29 × 503.39
  4. Step 4: Simplify right side
    595.19x = 414,435.95
  5. Step 5: Solve for x
    x = 414,435.95/595.19
  6. Step 6: Final answer
    x = 696.31

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Double scale
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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.