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Finding the Fourth Proportional to 460.69, 635.04 and 405.10

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Solution

The fourth proportional to 460.69, 635.04 and 405.10 is: 558.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.69 : 635.04 = 405.10 : x
  2. Step 2: Convert to fraction form
    460.69/635.04 = 405.10/x
  3. Step 3: Cross multiply
    460.69x = 635.04 × 405.10
  4. Step 4: Simplify right side
    460.69x = 257,255.50
  5. Step 5: Solve for x
    x = 257,255.50/460.69
  6. Step 6: Final answer
    x = 558.42

Related Problems

Find fourth proportional to 230.34, 317.52 and 202.55
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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.