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Finding the Fourth Proportional to 526.48, 785.45 and 507.57

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Solution

The fourth proportional to 526.48, 785.45 and 507.57 is: 757.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.48 : 785.45 = 507.57 : x
  2. Step 2: Convert to fraction form
    526.48/785.45 = 507.57/x
  3. Step 3: Cross multiply
    526.48x = 785.45 × 507.57
  4. Step 4: Simplify right side
    526.48x = 398,666.32
  5. Step 5: Solve for x
    x = 398,666.32/526.48
  6. Step 6: Final answer
    x = 757.23

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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.