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Finding the Fourth Proportional to 1,582.67, 2,373.99 and 609.45

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Solution

The fourth proportional to 1,582.67, 2,373.99 and 609.45 is: 914.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.67 : 2,373.99 = 609.45 : x
  2. Step 2: Convert to fraction form
    1,582.67/2,373.99 = 609.45/x
  3. Step 3: Cross multiply
    1,582.67x = 2,373.99 × 609.45
  4. Step 4: Simplify right side
    1,582.67x = 1,446,828.21
  5. Step 5: Solve for x
    x = 1,446,828.21/1,582.67
  6. Step 6: Final answer
    x = 914.17

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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.