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Finding the Fourth Proportional to 864.14, 1,192.18 and 485.95

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Solution

The fourth proportional to 864.14, 1,192.18 and 485.95 is: 670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.14 : 1,192.18 = 485.95 : x
  2. Step 2: Convert to fraction form
    864.14/1,192.18 = 485.95/x
  3. Step 3: Cross multiply
    864.14x = 1,192.18 × 485.95
  4. Step 4: Simplify right side
    864.14x = 579,339.51
  5. Step 5: Solve for x
    x = 579,339.51/864.14
  6. Step 6: Final answer
    x = 670.42

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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.