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Finding the Fourth Proportional to 534.45, 738.06 and 416.75

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Solution

The fourth proportional to 534.45, 738.06 and 416.75 is: 575.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.45 : 738.06 = 416.75 : x
  2. Step 2: Convert to fraction form
    534.45/738.06 = 416.75/x
  3. Step 3: Cross multiply
    534.45x = 738.06 × 416.75
  4. Step 4: Simplify right side
    534.45x = 307,586.51
  5. Step 5: Solve for x
    x = 307,586.51/534.45
  6. Step 6: Final answer
    x = 575.52

Related Problems

Find fourth proportional to 267.23, 369.03 and 208.38
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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.