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Finding the Fourth Proportional to 560.08, 839.51 and 313.01

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Solution

The fourth proportional to 560.08, 839.51 and 313.01 is: 469.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.08 : 839.51 = 313.01 : x
  2. Step 2: Convert to fraction form
    560.08/839.51 = 313.01/x
  3. Step 3: Cross multiply
    560.08x = 839.51 × 313.01
  4. Step 4: Simplify right side
    560.08x = 262,775.03
  5. Step 5: Solve for x
    x = 262,775.03/560.08
  6. Step 6: Final answer
    x = 469.17

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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.