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Finding the Fourth Proportional to 715.90, 1,075.06 and 472.90

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Solution

The fourth proportional to 715.90, 1,075.06 and 472.90 is: 710.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.90 : 1,075.06 = 472.90 : x
  2. Step 2: Convert to fraction form
    715.90/1,075.06 = 472.90/x
  3. Step 3: Cross multiply
    715.90x = 1,075.06 × 472.90
  4. Step 4: Simplify right side
    715.90x = 508,395.87
  5. Step 5: Solve for x
    x = 508,395.87/715.90
  6. Step 6: Final answer
    x = 710.15

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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.