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Finding the Fourth Proportional to 705.01, 972.95 and 410.21

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Solution

The fourth proportional to 705.01, 972.95 and 410.21 is: 566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.01 : 972.95 = 410.21 : x
  2. Step 2: Convert to fraction form
    705.01/972.95 = 410.21/x
  3. Step 3: Cross multiply
    705.01x = 972.95 × 410.21
  4. Step 4: Simplify right side
    705.01x = 399,113.82
  5. Step 5: Solve for x
    x = 399,113.82/705.01
  6. Step 6: Final answer
    x = 566.11

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Double scale
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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.