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Finding the Fourth Proportional to 520.68, 719.57 and 465.32

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Solution

The fourth proportional to 520.68, 719.57 and 465.32 is: 643.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.68 : 719.57 = 465.32 : x
  2. Step 2: Convert to fraction form
    520.68/719.57 = 465.32/x
  3. Step 3: Cross multiply
    520.68x = 719.57 × 465.32
  4. Step 4: Simplify right side
    520.68x = 334,830.31
  5. Step 5: Solve for x
    x = 334,830.31/520.68
  6. Step 6: Final answer
    x = 643.06

Related Problems

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Double scale
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Similar ratio
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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.