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Finding the Fourth Proportional to 707.12, 1,055.86 and 624.16

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Solution

The fourth proportional to 707.12, 1,055.86 and 624.16 is: 931.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.12 : 1,055.86 = 624.16 : x
  2. Step 2: Convert to fraction form
    707.12/1,055.86 = 624.16/x
  3. Step 3: Cross multiply
    707.12x = 1,055.86 × 624.16
  4. Step 4: Simplify right side
    707.12x = 659,017.18
  5. Step 5: Solve for x
    x = 659,017.18/707.12
  6. Step 6: Final answer
    x = 931.97

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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.