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Finding the Fourth Proportional to 582.13, 872.70 and 460.95

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Solution

The fourth proportional to 582.13, 872.70 and 460.95 is: 691.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.13 : 872.70 = 460.95 : x
  2. Step 2: Convert to fraction form
    582.13/872.70 = 460.95/x
  3. Step 3: Cross multiply
    582.13x = 872.70 × 460.95
  4. Step 4: Simplify right side
    582.13x = 402,271.07
  5. Step 5: Solve for x
    x = 402,271.07/582.13
  6. Step 6: Final answer
    x = 691.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.