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Finding the Fourth Proportional to 765.74, 1,055.48 and 530.03

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Solution

The fourth proportional to 765.74, 1,055.48 and 530.03 is: 730.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.74 : 1,055.48 = 530.03 : x
  2. Step 2: Convert to fraction form
    765.74/1,055.48 = 530.03/x
  3. Step 3: Cross multiply
    765.74x = 1,055.48 × 530.03
  4. Step 4: Simplify right side
    765.74x = 559,428.14
  5. Step 5: Solve for x
    x = 559,428.14/765.74
  6. Step 6: Final answer
    x = 730.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.