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Finding the Fourth Proportional to 966.51, 1,334.16 and 612.93

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Solution

The fourth proportional to 966.51, 1,334.16 and 612.93 is: 846.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.51 : 1,334.16 = 612.93 : x
  2. Step 2: Convert to fraction form
    966.51/1,334.16 = 612.93/x
  3. Step 3: Cross multiply
    966.51x = 1,334.16 × 612.93
  4. Step 4: Simplify right side
    966.51x = 817,746.69
  5. Step 5: Solve for x
    x = 817,746.69/966.51
  6. Step 6: Final answer
    x = 846.08

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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.