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Finding the Fourth Proportional to 594.77, 820.80 and 415.35

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Solution

The fourth proportional to 594.77, 820.80 and 415.35 is: 573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.77 : 820.80 = 415.35 : x
  2. Step 2: Convert to fraction form
    594.77/820.80 = 415.35/x
  3. Step 3: Cross multiply
    594.77x = 820.80 × 415.35
  4. Step 4: Simplify right side
    594.77x = 340,919.28
  5. Step 5: Solve for x
    x = 340,919.28/594.77
  6. Step 6: Final answer
    x = 573.20

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Find fourth proportional to 297.38, 410.40 and 207.68
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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.