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Finding the Fourth Proportional to 1,020.34, 1,400.56 and 907.35

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Solution

The fourth proportional to 1,020.34, 1,400.56 and 907.35 is: 1,245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.34 : 1,400.56 = 907.35 : x
  2. Step 2: Convert to fraction form
    1,020.34/1,400.56 = 907.35/x
  3. Step 3: Cross multiply
    1,020.34x = 1,400.56 × 907.35
  4. Step 4: Simplify right side
    1,020.34x = 1,270,798.12
  5. Step 5: Solve for x
    x = 1,270,798.12/1,020.34
  6. Step 6: Final answer
    x = 1,245.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.