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Finding the Fourth Proportional to 947.51, 1,307.33 and 705.07

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Solution

The fourth proportional to 947.51, 1,307.33 and 705.07 is: 972.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.51 : 1,307.33 = 705.07 : x
  2. Step 2: Convert to fraction form
    947.51/1,307.33 = 705.07/x
  3. Step 3: Cross multiply
    947.51x = 1,307.33 × 705.07
  4. Step 4: Simplify right side
    947.51x = 921,759.16
  5. Step 5: Solve for x
    x = 921,759.16/947.51
  6. Step 6: Final answer
    x = 972.82

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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.