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Finding the Fourth Proportional to 718.25, 1,075.77 and 624.50

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Solution

The fourth proportional to 718.25, 1,075.77 and 624.50 is: 935.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.25 : 1,075.77 = 624.50 : x
  2. Step 2: Convert to fraction form
    718.25/1,075.77 = 624.50/x
  3. Step 3: Cross multiply
    718.25x = 1,075.77 × 624.50
  4. Step 4: Simplify right side
    718.25x = 671,821.05
  5. Step 5: Solve for x
    x = 671,821.05/718.25
  6. Step 6: Final answer
    x = 935.35

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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.