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Finding the Fourth Proportional to 510.30, 702.95 and 427.34

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Solution

The fourth proportional to 510.30, 702.95 and 427.34 is: 588.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.30 : 702.95 = 427.34 : x
  2. Step 2: Convert to fraction form
    510.30/702.95 = 427.34/x
  3. Step 3: Cross multiply
    510.30x = 702.95 × 427.34
  4. Step 4: Simplify right side
    510.30x = 300,398.27
  5. Step 5: Solve for x
    x = 300,398.27/510.30
  6. Step 6: Final answer
    x = 588.67

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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.