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Finding the Fourth Proportional to 1,264.17, 1,746.08 and 972.93

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Solution

The fourth proportional to 1,264.17, 1,746.08 and 972.93 is: 1,343.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.17 : 1,746.08 = 972.93 : x
  2. Step 2: Convert to fraction form
    1,264.17/1,746.08 = 972.93/x
  3. Step 3: Cross multiply
    1,264.17x = 1,746.08 × 972.93
  4. Step 4: Simplify right side
    1,264.17x = 1,698,808.75
  5. Step 5: Solve for x
    x = 1,698,808.75/1,264.17
  6. Step 6: Final answer
    x = 1,343.81

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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.