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Finding the Fourth Proportional to 710.23, 1,059.64 and 632.26

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Solution

The fourth proportional to 710.23, 1,059.64 and 632.26 is: 943.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.23 : 1,059.64 = 632.26 : x
  2. Step 2: Convert to fraction form
    710.23/1,059.64 = 632.26/x
  3. Step 3: Cross multiply
    710.23x = 1,059.64 × 632.26
  4. Step 4: Simplify right side
    710.23x = 669,964.83
  5. Step 5: Solve for x
    x = 669,964.83/710.23
  6. Step 6: Final answer
    x = 943.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.