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Finding the Fourth Proportional to 582, 803.57 and 407.58

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Solution

The fourth proportional to 582, 803.57 and 407.58 is: 562.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    582 : 803.57 = 407.58 : x
  2. Step 2: Convert to fraction form
    582/803.57 = 407.58/x
  3. Step 3: Cross multiply
    582x = 803.57 × 407.58
  4. Step 4: Simplify right side
    582x = 327,517.02
  5. Step 5: Solve for x
    x = 327,517.02/582
  6. Step 6: Final answer
    x = 562.74

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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.