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Finding the Fourth Proportional to 1,681.61, 2,521.94 and 585.95

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Solution

The fourth proportional to 1,681.61, 2,521.94 and 585.95 is: 878.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.61 : 2,521.94 = 585.95 : x
  2. Step 2: Convert to fraction form
    1,681.61/2,521.94 = 585.95/x
  3. Step 3: Cross multiply
    1,681.61x = 2,521.94 × 585.95
  4. Step 4: Simplify right side
    1,681.61x = 1,477,715.20
  5. Step 5: Solve for x
    x = 1,477,715.20/1,681.61
  6. Step 6: Final answer
    x = 878.75

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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.