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Finding the Fourth Proportional to 582.93, 803.76 and 442.70

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Solution

The fourth proportional to 582.93, 803.76 and 442.70 is: 610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.93 : 803.76 = 442.70 : x
  2. Step 2: Convert to fraction form
    582.93/803.76 = 442.70/x
  3. Step 3: Cross multiply
    582.93x = 803.76 × 442.70
  4. Step 4: Simplify right side
    582.93x = 355,820.53
  5. Step 5: Solve for x
    x = 355,820.53/582.93
  6. Step 6: Final answer
    x = 610.40

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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.