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Finding the Fourth Proportional to 1,433.19, 2,148.22 and 652.99

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Solution

The fourth proportional to 1,433.19, 2,148.22 and 652.99 is: 978.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.19 : 2,148.22 = 652.99 : x
  2. Step 2: Convert to fraction form
    1,433.19/2,148.22 = 652.99/x
  3. Step 3: Cross multiply
    1,433.19x = 2,148.22 × 652.99
  4. Step 4: Simplify right side
    1,433.19x = 1,402,762.91
  5. Step 5: Solve for x
    x = 1,402,762.91/1,433.19
  6. Step 6: Final answer
    x = 978.77

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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.