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Finding the Fourth Proportional to 781.98, 1,075.74 and 707.46

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Solution

The fourth proportional to 781.98, 1,075.74 and 707.46 is: 973.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.98 : 1,075.74 = 707.46 : x
  2. Step 2: Convert to fraction form
    781.98/1,075.74 = 707.46/x
  3. Step 3: Cross multiply
    781.98x = 1,075.74 × 707.46
  4. Step 4: Simplify right side
    781.98x = 761,043.02
  5. Step 5: Solve for x
    x = 761,043.02/781.98
  6. Step 6: Final answer
    x = 973.23

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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.