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Finding the Fourth Proportional to 907.35, 1,252.16 and 514.36

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Solution

The fourth proportional to 907.35, 1,252.16 and 514.36 is: 709.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.35 : 1,252.16 = 514.36 : x
  2. Step 2: Convert to fraction form
    907.35/1,252.16 = 514.36/x
  3. Step 3: Cross multiply
    907.35x = 1,252.16 × 514.36
  4. Step 4: Simplify right side
    907.35x = 644,061.02
  5. Step 5: Solve for x
    x = 644,061.02/907.35
  6. Step 6: Final answer
    x = 709.83

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Double scale
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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.