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Finding the Fourth Proportional to 691.64, 952.26 and 657.01

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Solution

The fourth proportional to 691.64, 952.26 and 657.01 is: 904.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.64 : 952.26 = 657.01 : x
  2. Step 2: Convert to fraction form
    691.64/952.26 = 657.01/x
  3. Step 3: Cross multiply
    691.64x = 952.26 × 657.01
  4. Step 4: Simplify right side
    691.64x = 625,643.07
  5. Step 5: Solve for x
    x = 625,643.07/691.64
  6. Step 6: Final answer
    x = 904.58

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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.