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Finding the Fourth Proportional to 1,307.81, 1,805.69 and 915.37

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Solution

The fourth proportional to 1,307.81, 1,805.69 and 915.37 is: 1,263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.81 : 1,805.69 = 915.37 : x
  2. Step 2: Convert to fraction form
    1,307.81/1,805.69 = 915.37/x
  3. Step 3: Cross multiply
    1,307.81x = 1,805.69 × 915.37
  4. Step 4: Simplify right side
    1,307.81x = 1,652,872.23
  5. Step 5: Solve for x
    x = 1,652,872.23/1,307.81
  6. Step 6: Final answer
    x = 1,263.84

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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.