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Finding the Fourth Proportional to 822.30, 1,133.59 and 507.35

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Solution

The fourth proportional to 822.30, 1,133.59 and 507.35 is: 699.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.30 : 1,133.59 = 507.35 : x
  2. Step 2: Convert to fraction form
    822.30/1,133.59 = 507.35/x
  3. Step 3: Cross multiply
    822.30x = 1,133.59 × 507.35
  4. Step 4: Simplify right side
    822.30x = 575,127.64
  5. Step 5: Solve for x
    x = 575,127.64/822.30
  6. Step 6: Final answer
    x = 699.42

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Double scale
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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.