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Finding the Fourth Proportional to 595.43, 821.52 and 346.67

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Solution

The fourth proportional to 595.43, 821.52 and 346.67 is: 478.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.43 : 821.52 = 346.67 : x
  2. Step 2: Convert to fraction form
    595.43/821.52 = 346.67/x
  3. Step 3: Cross multiply
    595.43x = 821.52 × 346.67
  4. Step 4: Simplify right side
    595.43x = 284,796.34
  5. Step 5: Solve for x
    x = 284,796.34/595.43
  6. Step 6: Final answer
    x = 478.30

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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.