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Finding the Fourth Proportional to 762.40, 1,052.69 and 670.24

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Solution

The fourth proportional to 762.40, 1,052.69 and 670.24 is: 925.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.40 : 1,052.69 = 670.24 : x
  2. Step 2: Convert to fraction form
    762.40/1,052.69 = 670.24/x
  3. Step 3: Cross multiply
    762.40x = 1,052.69 × 670.24
  4. Step 4: Simplify right side
    762.40x = 705,554.95
  5. Step 5: Solve for x
    x = 705,554.95/762.40
  6. Step 6: Final answer
    x = 925.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.