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Finding the Fourth Proportional to 510.74, 766.23 and 145.52

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Solution

The fourth proportional to 510.74, 766.23 and 145.52 is: 218.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.74 : 766.23 = 145.52 : x
  2. Step 2: Convert to fraction form
    510.74/766.23 = 145.52/x
  3. Step 3: Cross multiply
    510.74x = 766.23 × 145.52
  4. Step 4: Simplify right side
    510.74x = 111,501.79
  5. Step 5: Solve for x
    x = 111,501.79/510.74
  6. Step 6: Final answer
    x = 218.31

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.