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Finding the Fourth Proportional to 705.12, 973.04 and 410.40

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Solution

The fourth proportional to 705.12, 973.04 and 410.40 is: 566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.12 : 973.04 = 410.40 : x
  2. Step 2: Convert to fraction form
    705.12/973.04 = 410.40/x
  3. Step 3: Cross multiply
    705.12x = 973.04 × 410.40
  4. Step 4: Simplify right side
    705.12x = 399,333.56
  5. Step 5: Solve for x
    x = 399,333.56/705.12
  6. Step 6: Final answer
    x = 566.33

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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.