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Finding the Fourth Proportional to 510.87, 703.77 and 421.98

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Solution

The fourth proportional to 510.87, 703.77 and 421.98 is: 581.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.87 : 703.77 = 421.98 : x
  2. Step 2: Convert to fraction form
    510.87/703.77 = 421.98/x
  3. Step 3: Cross multiply
    510.87x = 703.77 × 421.98
  4. Step 4: Simplify right side
    510.87x = 296,976.86
  5. Step 5: Solve for x
    x = 296,976.86/510.87
  6. Step 6: Final answer
    x = 581.32

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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.