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Finding the Fourth Proportional to 645.84, 973.55 and 538.31

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Solution

The fourth proportional to 645.84, 973.55 and 538.31 is: 811.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.84 : 973.55 = 538.31 : x
  2. Step 2: Convert to fraction form
    645.84/973.55 = 538.31/x
  3. Step 3: Cross multiply
    645.84x = 973.55 × 538.31
  4. Step 4: Simplify right side
    645.84x = 524,075.48
  5. Step 5: Solve for x
    x = 524,075.48/645.84
  6. Step 6: Final answer
    x = 811.46

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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.