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Finding the Fourth Proportional to 580.76, 800.46 and 433.88

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Solution

The fourth proportional to 580.76, 800.46 and 433.88 is: 598.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.76 : 800.46 = 433.88 : x
  2. Step 2: Convert to fraction form
    580.76/800.46 = 433.88/x
  3. Step 3: Cross multiply
    580.76x = 800.46 × 433.88
  4. Step 4: Simplify right side
    580.76x = 347,303.58
  5. Step 5: Solve for x
    x = 347,303.58/580.76
  6. Step 6: Final answer
    x = 598.02

Related Problems

Find fourth proportional to 290.38, 400.23 and 216.94
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Double scale
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Similar ratio
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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.