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Finding the Fourth Proportional to 1,075.68, 1,484.82 and 761.40

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Solution

The fourth proportional to 1,075.68, 1,484.82 and 761.40 is: 1,051.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.68 : 1,484.82 = 761.40 : x
  2. Step 2: Convert to fraction form
    1,075.68/1,484.82 = 761.40/x
  3. Step 3: Cross multiply
    1,075.68x = 1,484.82 × 761.40
  4. Step 4: Simplify right side
    1,075.68x = 1,130,541.95
  5. Step 5: Solve for x
    x = 1,130,541.95/1,075.68
  6. Step 6: Final answer
    x = 1,051.00

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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.