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Finding the Fourth Proportional to 527.54, 785.07 and 510.02

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Solution

The fourth proportional to 527.54, 785.07 and 510.02 is: 759.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.54 : 785.07 = 510.02 : x
  2. Step 2: Convert to fraction form
    527.54/785.07 = 510.02/x
  3. Step 3: Cross multiply
    527.54x = 785.07 × 510.02
  4. Step 4: Simplify right side
    527.54x = 400,401.40
  5. Step 5: Solve for x
    x = 400,401.40/527.54
  6. Step 6: Final answer
    x = 759.00

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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.