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Finding the Fourth Proportional to 654.30, 899.15 and 589.50

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Solution

The fourth proportional to 654.30, 899.15 and 589.50 is: 810.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.30 : 899.15 = 589.50 : x
  2. Step 2: Convert to fraction form
    654.30/899.15 = 589.50/x
  3. Step 3: Cross multiply
    654.30x = 899.15 × 589.50
  4. Step 4: Simplify right side
    654.30x = 530,045.98
  5. Step 5: Solve for x
    x = 530,045.98/654.30
  6. Step 6: Final answer
    x = 810.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.