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Finding the Fourth Proportional to 645.59, 972.50 and 581.51

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Solution

The fourth proportional to 645.59, 972.50 and 581.51 is: 875.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.59 : 972.50 = 581.51 : x
  2. Step 2: Convert to fraction form
    645.59/972.50 = 581.51/x
  3. Step 3: Cross multiply
    645.59x = 972.50 × 581.51
  4. Step 4: Simplify right side
    645.59x = 565,518.00
  5. Step 5: Solve for x
    x = 565,518.00/645.59
  6. Step 6: Final answer
    x = 875.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.