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Finding the Fourth Proportional to 510.53, 704.30 and 340.23

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Solution

The fourth proportional to 510.53, 704.30 and 340.23 is: 469.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.53 : 704.30 = 340.23 : x
  2. Step 2: Convert to fraction form
    510.53/704.30 = 340.23/x
  3. Step 3: Cross multiply
    510.53x = 704.30 × 340.23
  4. Step 4: Simplify right side
    510.53x = 239,621.32
  5. Step 5: Solve for x
    x = 239,621.32/510.53
  6. Step 6: Final answer
    x = 469.36

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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.