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Finding the Fourth Proportional to 597.12, 891.08 and 510.40

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Solution

The fourth proportional to 597.12, 891.08 and 510.40 is: 761.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.12 : 891.08 = 510.40 : x
  2. Step 2: Convert to fraction form
    597.12/891.08 = 510.40/x
  3. Step 3: Cross multiply
    597.12x = 891.08 × 510.40
  4. Step 4: Simplify right side
    597.12x = 454,807.23
  5. Step 5: Solve for x
    x = 454,807.23/597.12
  6. Step 6: Final answer
    x = 761.67

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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.