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Finding the Fourth Proportional to 707.59, 975.93 and 541.39

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Solution

The fourth proportional to 707.59, 975.93 and 541.39 is: 746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.59 : 975.93 = 541.39 : x
  2. Step 2: Convert to fraction form
    707.59/975.93 = 541.39/x
  3. Step 3: Cross multiply
    707.59x = 975.93 × 541.39
  4. Step 4: Simplify right side
    707.59x = 528,358.74
  5. Step 5: Solve for x
    x = 528,358.74/707.59
  6. Step 6: Final answer
    x = 746.70

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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.