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Finding the Fourth Proportional to 705.10, 973.28 and 410.46

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Solution

The fourth proportional to 705.10, 973.28 and 410.46 is: 566.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.10 : 973.28 = 410.46 : x
  2. Step 2: Convert to fraction form
    705.10/973.28 = 410.46/x
  3. Step 3: Cross multiply
    705.10x = 973.28 × 410.46
  4. Step 4: Simplify right side
    705.10x = 399,492.51
  5. Step 5: Solve for x
    x = 399,492.51/705.10
  6. Step 6: Final answer
    x = 566.58

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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.