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Finding the Fourth Proportional to 510.59, 703.83 and 420.98

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Solution

The fourth proportional to 510.59, 703.83 and 420.98 is: 580.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.59 : 703.83 = 420.98 : x
  2. Step 2: Convert to fraction form
    510.59/703.83 = 420.98/x
  3. Step 3: Cross multiply
    510.59x = 703.83 × 420.98
  4. Step 4: Simplify right side
    510.59x = 296,294.83
  5. Step 5: Solve for x
    x = 296,294.83/510.59
  6. Step 6: Final answer
    x = 580.30

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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.