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Finding the Fourth Proportional to 716.93, 1,075.74 and 624.56

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Solution

The fourth proportional to 716.93, 1,075.74 and 624.56 is: 937.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.93 : 1,075.74 = 624.56 : x
  2. Step 2: Convert to fraction form
    716.93/1,075.74 = 624.56/x
  3. Step 3: Cross multiply
    716.93x = 1,075.74 × 624.56
  4. Step 4: Simplify right side
    716.93x = 671,864.17
  5. Step 5: Solve for x
    x = 671,864.17/716.93
  6. Step 6: Final answer
    x = 937.14

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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.