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Finding the Fourth Proportional to 514.76, 709.29 and 421.20

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Solution

The fourth proportional to 514.76, 709.29 and 421.20 is: 580.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.76 : 709.29 = 421.20 : x
  2. Step 2: Convert to fraction form
    514.76/709.29 = 421.20/x
  3. Step 3: Cross multiply
    514.76x = 709.29 × 421.20
  4. Step 4: Simplify right side
    514.76x = 298,752.95
  5. Step 5: Solve for x
    x = 298,752.95/514.76
  6. Step 6: Final answer
    x = 580.38

Related Problems

Find fourth proportional to 257.38, 354.65 and 210.60
Half scale
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Double scale
Find fourth proportional to 515.76, 710.67 and 422.20
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.