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Finding the Fourth Proportional to 707.04, 1,056.06 and 675.72

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Solution

The fourth proportional to 707.04, 1,056.06 and 675.72 is: 1,009.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.04 : 1,056.06 = 675.72 : x
  2. Step 2: Convert to fraction form
    707.04/1,056.06 = 675.72/x
  3. Step 3: Cross multiply
    707.04x = 1,056.06 × 675.72
  4. Step 4: Simplify right side
    707.04x = 713,600.86
  5. Step 5: Solve for x
    x = 713,600.86/707.04
  6. Step 6: Final answer
    x = 1,009.28

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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.