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Finding the Fourth Proportional to 1,306.40, 1,802.88 and 913.28

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Solution

The fourth proportional to 1,306.40, 1,802.88 and 913.28 is: 1,260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.40 : 1,802.88 = 913.28 : x
  2. Step 2: Convert to fraction form
    1,306.40/1,802.88 = 913.28/x
  3. Step 3: Cross multiply
    1,306.40x = 1,802.88 × 913.28
  4. Step 4: Simplify right side
    1,306.40x = 1,646,534.25
  5. Step 5: Solve for x
    x = 1,646,534.25/1,306.40
  6. Step 6: Final answer
    x = 1,260.36

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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.