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Finding the Fourth Proportional to 947.45, 1,307.61 and 554.47

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Solution

The fourth proportional to 947.45, 1,307.61 and 554.47 is: 765.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.45 : 1,307.61 = 554.47 : x
  2. Step 2: Convert to fraction form
    947.45/1,307.61 = 554.47/x
  3. Step 3: Cross multiply
    947.45x = 1,307.61 × 554.47
  4. Step 4: Simplify right side
    947.45x = 725,030.52
  5. Step 5: Solve for x
    x = 725,030.52/947.45
  6. Step 6: Final answer
    x = 765.24

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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.