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Finding the Fourth Proportional to 1,582.21, 2,373.32 and 715.51

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Solution

The fourth proportional to 1,582.21, 2,373.32 and 715.51 is: 1,073.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.21 : 2,373.32 = 715.51 : x
  2. Step 2: Convert to fraction form
    1,582.21/2,373.32 = 715.51/x
  3. Step 3: Cross multiply
    1,582.21x = 2,373.32 × 715.51
  4. Step 4: Simplify right side
    1,582.21x = 1,698,134.19
  5. Step 5: Solve for x
    x = 1,698,134.19/1,582.21
  6. Step 6: Final answer
    x = 1,073.27

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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.