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Finding the Fourth Proportional to 718.54, 1,075.98 and 474.70

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Solution

The fourth proportional to 718.54, 1,075.98 and 474.70 is: 710.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.54 : 1,075.98 = 474.70 : x
  2. Step 2: Convert to fraction form
    718.54/1,075.98 = 474.70/x
  3. Step 3: Cross multiply
    718.54x = 1,075.98 × 474.70
  4. Step 4: Simplify right side
    718.54x = 510,767.71
  5. Step 5: Solve for x
    x = 510,767.71/718.54
  6. Step 6: Final answer
    x = 710.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.