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Finding the Fourth Proportional to 975.74, 1,346.47 and 556.10

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Solution

The fourth proportional to 975.74, 1,346.47 and 556.10 is: 767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.74 : 1,346.47 = 556.10 : x
  2. Step 2: Convert to fraction form
    975.74/1,346.47 = 556.10/x
  3. Step 3: Cross multiply
    975.74x = 1,346.47 × 556.10
  4. Step 4: Simplify right side
    975.74x = 748,768.89
  5. Step 5: Solve for x
    x = 748,768.89/975.74
  6. Step 6: Final answer
    x = 767.39

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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.