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Finding the Fourth Proportional to 713.51, 984.61 and 526.93

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Solution

The fourth proportional to 713.51, 984.61 and 526.93 is: 727.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.51 : 984.61 = 526.93 : x
  2. Step 2: Convert to fraction form
    713.51/984.61 = 526.93/x
  3. Step 3: Cross multiply
    713.51x = 984.61 × 526.93
  4. Step 4: Simplify right side
    713.51x = 518,820.55
  5. Step 5: Solve for x
    x = 518,820.55/713.51
  6. Step 6: Final answer
    x = 727.14

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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.