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Finding the Fourth Proportional to 510.76, 703.62 and 421.66

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Solution

The fourth proportional to 510.76, 703.62 and 421.66 is: 580.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.76 : 703.62 = 421.66 : x
  2. Step 2: Convert to fraction form
    510.76/703.62 = 421.66/x
  3. Step 3: Cross multiply
    510.76x = 703.62 × 421.66
  4. Step 4: Simplify right side
    510.76x = 296,688.41
  5. Step 5: Solve for x
    x = 296,688.41/510.76
  6. Step 6: Final answer
    x = 580.88

Related Problems

Find fourth proportional to 255.38, 351.81 and 210.83
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Double scale
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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.