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Finding the Fourth Proportional to 1,075.30, 1,613.10 and 345.07

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Solution

The fourth proportional to 1,075.30, 1,613.10 and 345.07 is: 517.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.30 : 1,613.10 = 345.07 : x
  2. Step 2: Convert to fraction form
    1,075.30/1,613.10 = 345.07/x
  3. Step 3: Cross multiply
    1,075.30x = 1,613.10 × 345.07
  4. Step 4: Simplify right side
    1,075.30x = 556,632.42
  5. Step 5: Solve for x
    x = 556,632.42/1,075.30
  6. Step 6: Final answer
    x = 517.65

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Double scale
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1.5x scale

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.