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Finding the Fourth Proportional to 510.21, 703.77 and 310.89

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Solution

The fourth proportional to 510.21, 703.77 and 310.89 is: 428.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.21 : 703.77 = 310.89 : x
  2. Step 2: Convert to fraction form
    510.21/703.77 = 310.89/x
  3. Step 3: Cross multiply
    510.21x = 703.77 × 310.89
  4. Step 4: Simplify right side
    510.21x = 218,795.06
  5. Step 5: Solve for x
    x = 218,795.06/510.21
  6. Step 6: Final answer
    x = 428.83

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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.