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Finding the Fourth Proportional to 526.54, 783.59 and 509.02

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Solution

The fourth proportional to 526.54, 783.59 and 509.02 is: 757.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.54 : 783.59 = 509.02 : x
  2. Step 2: Convert to fraction form
    526.54/783.59 = 509.02/x
  3. Step 3: Cross multiply
    526.54x = 783.59 × 509.02
  4. Step 4: Simplify right side
    526.54x = 398,859.11
  5. Step 5: Solve for x
    x = 398,859.11/526.54
  6. Step 6: Final answer
    x = 757.52

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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.