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Finding the Fourth Proportional to 520.24, 718.10 and 313.24

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Solution

The fourth proportional to 520.24, 718.10 and 313.24 is: 432.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.24 : 718.10 = 313.24 : x
  2. Step 2: Convert to fraction form
    520.24/718.10 = 313.24/x
  3. Step 3: Cross multiply
    520.24x = 718.10 × 313.24
  4. Step 4: Simplify right side
    520.24x = 224,937.64
  5. Step 5: Solve for x
    x = 224,937.64/520.24
  6. Step 6: Final answer
    x = 432.37

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1.5x scale

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.