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Finding the Fourth Proportional to 526.53, 786.11 and 464.23

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Solution

The fourth proportional to 526.53, 786.11 and 464.23 is: 693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.53 : 786.11 = 464.23 : x
  2. Step 2: Convert to fraction form
    526.53/786.11 = 464.23/x
  3. Step 3: Cross multiply
    526.53x = 786.11 × 464.23
  4. Step 4: Simplify right side
    526.53x = 364,934.51
  5. Step 5: Solve for x
    x = 364,934.51/526.53
  6. Step 6: Final answer
    x = 693.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.