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Finding the Fourth Proportional to 705.01, 973.25 and 469.35

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Solution

The fourth proportional to 705.01, 973.25 and 469.35 is: 647.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.01 : 973.25 = 469.35 : x
  2. Step 2: Convert to fraction form
    705.01/973.25 = 469.35/x
  3. Step 3: Cross multiply
    705.01x = 973.25 × 469.35
  4. Step 4: Simplify right side
    705.01x = 456,790.02
  5. Step 5: Solve for x
    x = 456,790.02/705.01
  6. Step 6: Final answer
    x = 647.92

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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.